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Topic: Product of rings


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In the News (Sat 28 Nov 09)

  
  Product (mathematics) - Wikipedia, the free encyclopedia
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied.
When matrices or members of various other associative algebras are multiplied the product usually depends on the order of the factors; in other words, matrix multiplication, and the multiplications in those other algebras, are non-commutative.
The dot product and cross product are forms of multiplication of vectors; the same as dot product or more general are the scalar product and the inner product; see also Inner product space
en.wikipedia.org /wiki/Product_(mathematics)   (176 words)

  
 Product
Green gross domestic product A green gross domestic product is an index of economic growth with the environmental conseq...
Intermodulation product An intermodulation product is the product of two signals mixed in a nonlinear device, such as a...
Marginal product In economics, the marginal product or marginal physical product of an input to production during a spec...
www.brainyencyclopedia.com /topics/product.html   (1054 words)

  
 Product of rings - Wikipedia, the free encyclopedia
In abstract algebra, it is possible to combine several rings into one large product ring.
This shows that the product of rings is an instance of products in the sense of category theory.
The group of units of R is the product of the groups of units of R
en.wikipedia.org /wiki/Product_of_rings   (333 words)

  
 Direct product -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-08)
Note that a direct product for a finite index is identical to the (A union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets) direct sum.
The product topology for infinite products has a twist, and this has to do with being able to make all the projection maps continuous and to make all functions into the product continuous if and only if all its component functions are continuous (i.e.
Products (with the product topology) are nice with respect to preserving properties of their factors; for example, the product of Hausdorff spaces is Hausdorff; the product of connected spaces is connected, and the product of compact spaces is compact.
www.absoluteastronomy.com /encyclopedia/d/di/direct_product.htm   (1149 words)

  
 Product Listing - Rings
This is a very differnt heart design engagment ring with a center 6mm pearl and three small yogo sapphires on the edge of the heart.I have replaced the pearl as the original was very worn, and I replaced single cut diamonds with.12tcw of yogo sapphires...
Fabulous 14kt white gold ring feature a center stone that is a wonderful cornflower blue yogo sapphire which weighs.35cts.
This ring is stunnning, the carving and openwork is great and very distinct.
www.sapphire-untreated.com /ssl/store/commerce.cgi?product=Rings   (883 words)

  
 NCA Products: Reviews - Fire Rings
Products listed may or may not meet accessibility standards or recommendations.
The method used to remove the cooking grate from the fire ring so that the inside of the ring can be accessed is important.
A good heat-exchange system that allows the outside of the fire ring to remain cooler and prevent possible burns is an excellent feature.
www.ncaonline.org /product-reviews/fire-rings.shtml   (388 words)

  
 Mondera Product Showcase - Rings Page 3 of 3 at the IMM
Lustrous 18k yellow gold ring is designed to show 2 delicate rows twisted on top of the ring and set with round brilliant cut diamonds of 0.25 carat.
The ring thickness ranges from 3.4 mm at the bottom of the shan...
"This classic and elegant ring in 18k yellow gold is centered by an oval ruby of 6x4 millimeter and surrounded by round brilliant cut diamond of H col...
www.intl-marketplace.com /psc/mondera/rings3.htm   (940 words)

  
 Suzuki 4x4 - Product Reviews: Birfield Rings from Rocky Road Outfitters
The product is a clean and good-looking, made from high quality chromoly steel and machined to optimize the strength of the Birfield joints.
One of the tricks to the Birfield ring is the minimal grinding in the axle knuckle, allowing a significant increase in the size and thickness of the Birfield ring.
With the ring in place, the joint is physically bigger, so the Birfield and axle must be installed and or removed with the knuckle assembly disassembled.
www.off-road.com /suzuki/reviews/rrbirfield.htm   (1842 words)

  
 The direct product of two rings   (Site not responding. Last check: 2007-10-08)
The direct product of two rings -- an example of isomorphism
The direct product of two rings, say R1 and R2, is written R1 x R2 and consists of all ordered pairs (a, b) with a in R1 and b in R2.
If R1 and R2 are rings, then R1 x R2 is also a ring, as you could show by checking that all the axioms hold.
www.ee.surrey.ac.uk /Personal/J.Deane/Teach/alg/dirprod.html   (398 words)

  
 SUAREZ BROS. METAL ARTS, INC. -- PRODUCT RANGE -- RINGS   (Site not responding. Last check: 2007-10-08)
Your school ring, a symbol of achievement and a part of lasting memories.
In designing the corporate award rings, Suarez Bros. goes by one rule: the rings must not be mere remembrance but symbols of recognition, evoking feelings of pride, on both the recipient and awardee.
The ring, as such, is custom-crafted -- to establish the identity of the occasion.
www.suarezbros.com /rings.html   (363 words)

  
 Lord of the Rings: Creative- and Product Specials
The Lord of the Rings Fanatics Site tries to be a platform for any kind of Tolkien Fanatic to show his Tolkien passion to the world.
All scaled replicas of the characters and helms used in the Newline Lord of the Rings Trilogy.
Copyrights and trademarks for the books, films, articles, and other promotional materials are held by their respective owners and their use is allowed under the fair use clause of the Copyright Law.
www.lordotrings.com /noflash/specials.asp   (613 words)

  
 Product Listing - rings
Ring in several layers of silver with a "silver-bullet" in the centre.
Simple ring in silver-string with interesting "locking-device" (You really don't need to lock and lock it up, of course).
Heavy ring entirely in silver with symbols from ancient scandinavian stone-carvings.
www.forma.nu /VegasysWebstore/store/commerce.cgi?product=rings   (287 words)

  
 Product of rings   (Site not responding. Last check: 2007-10-08)
is a product of rings, then forevery i in I we have a surjective ring homomorphism p
The group of units ofR is the product of the groups of units ofR
A product of more than one non-zero rings always has zero divisors : ifx is an element of the product all of whose coordinates are zero except p
www.therfcc.org /product-of-rings-210830.html   (295 words)

  
 CPSC, Firms Announce Recall of Children's Rings and Drill Charger Base
U.S. The U.S. Consumer Product Safety Commission is an independent federal agency created by Congress in 1973 and charged with protecting the American public from unreasonable risks of serious injury or death from more than 15,000 types of consumer products under the agency’s jurisdiction.
The U.S. Consumer Product Safety Commission is charged with protecting the public from unreasonable risks of serious injury or death from more than 15,000 types of consumer products under the agency's jurisdiction.
The CPSC is committed to protecting consumers and families from products that pose a fire, electrical, chemical, or mechanical hazard.
www.prnewswire.com /cgi-bin/stories.pl?ACCT=104&STORY=/www/story/03-02-2004/0002120442&EDATE=   (626 words)

  
 [No title]   (Site not responding. Last check: 2007-10-08)
Also it is false that a product of semisimple rings has to be semisimple.
Note that a ring is semisimple iff it has zero radical *and* it is Artinian.
Even the infinitely sum of semisimple ring is not semisimple because of possessing infinitely many nonisomorphic minimal ideals.
www.math.niu.edu /~rusin/known-math/00_incoming/semisimple   (493 words)

  
 HCRealms Forum - HeroClix Accessory Product Review: ID Rings by Flash Point
The rings are made of rubber, and they are very easy to get on and off the figures base.
There is a caveat to this…if the figure has an arch-enemy base, the ID Ring will cover it on the sides…you’d have to check the bottom of the figure to see the color of the base.
The only problem with the rings is if you have a difficult to turn AE base, using the tool that fits into the slot rubs against the ring.
www.hcrealms.com /forum/showthread.php?s=&threadid=106043   (1418 words)

  
 A Product of Rings   (Site not responding. Last check: 2007-10-08)
Let the ring r be the direct product of rings r
Replace 1 with the sum of ones from the component rings, and x is the sum of entries from the respective submodules.
The submodules are independent, and m is the direct product of these submodules.
www.mathreference.com /mod,rprod.html   (214 words)

  
 Artifacts of the Ages: Rings :: Green Ronin Product Catalog
or a ring that renders the wearer invisible.
Artifacts of the Ages: Rings is the second in a series of innovative sourcebooks examining new ways to treat magic items in fantasy d20 System campaigns.
This excerpt from Artifacts of the Ages: Rings is from Chapter 4: Faithrings.
www.greenronin.com /catalog/grr1028   (303 words)

  
 Direct Product of Rings
This map is an embedding, and together, all the spectra from the component rings cover spec r.
This is sufficient to prove r is the direct product of rings e and f.
As a corollary, the spectrum of a local ring is connected.
www.mathreference.com /ring-zar,dirp.html   (486 words)

  
 Brand Imports, LLC Recall of Children's Rings   (Site not responding. Last check: 2007-10-08)
Hazard: The rings contain high levels of lead, posing a risk of lead poisoning to young children.
Description: The metal rings are silver in color with shapes including hearts and stars, with slashes of colored paint.
Remedy: Consumers should throw the ring away or contact the company for more information.
www.kidsource.com /cpsc4/Children'sRings.html   (150 words)

  
 PavementSucks.com - Product Review - Glow Rings
After I cleaned the area that the glow rings were going to go on.
Gotta watch out so you don’t pull it off the back and have the ring stick to itself, almost happened to me. When I was putting the ring over the keyhole it is a nice size and looks like it will accommodate many keyholes without any problems.
This and many other off-road and convenience type products for your Jeep are avaialble from RNventions.
www.pavementsucks.com /showcase/glowring.php   (380 words)

  
 The Brand with the Four Rings Increases its “Product Placement” Activities   (Site not responding. Last check: 2007-10-08)
The product placement issue has now entered such an advanced stage that each film studio has its own staff responsible for product placement who negotiate with manufacturers on their potential involvement.
For the science fiction film “I, Robot” Audi went beyond the previous framework of its product placements: for the first time ever Audi designers in Ingolstadt designed and built a car especially for the movie, in which leading actor Will Smith is chasing criminals in the futuristic Audi RSQ sport coupe.
A lot of other things are also different about the “I, Robot” product placement commitment: especially for the film, Audi will launch a classic advertising campaign with print ads and a TV commercial, which will run in the USA just before the movie reaches the cinemas.
fourtitude.rely.net /cgi-bin/artman/exec/view.cgi/5/272/printer   (734 words)

  
 www.MagicDojo.com - #1 Magic Tricks, David Blaine, Card Tricks - Product » Ninja Rings DVD - Shoot Ogawa   (Site not responding. Last check: 2007-10-08)
The rings are only four and one half inches in diameter but the routine is perfect for formal close-up situations, walk-around, or intimate table side magic.
The rings are small and lightweight, but the routine is packed with power and extreme visual magic.
Each of nickel-plated rings in this four-ring set (one key ring, one solid ring and two linked rings) measure 4.5 inches in diameter, the perfect size for close-up performances.
www.magicdojo.com /index.php/action/item/id/42/prevaction/category/pre...   (590 words)

  
 Featured Product Southern Thread Rings   (Site not responding. Last check: 2007-10-08)
Pictures of our products with informational descriptions are displayed to help you locate what you want and familiarize you with our product line.
Technical and educational information is contained in the product section with more coming in a section devoted to issues that customers will find helpful.
Our customers can depend on our products and services to be a cornerstone of their quality program.
www.gsgage.com /featured.htm   (312 words)

  
 Fast Affordable Web Design, Hosting, E-Commerce in San Diego - E-Commerce   (Site not responding. Last check: 2007-10-08)
For example, necklaces are in the Necklace and Jewelry categories; rings are in the Rings and Jewelry categories.
For the product item display, you can choose the appearance for the thumbnail layout and the number of columns to use in the display.
When entering a product, you can define the item's layout, product name, product ID, short description, long description, text-only description, price, sale price, shipping weight, whether the item is on sale, taxable, or hidden.
www.pcartsonline.com /fastwebdev/e_commerce   (576 words)

  
 Maui Toe Rings Body Jewelry Product Guarantee
If, for ANY reason, you are not completely satisfied with ANY of our fine jewelry products, simply return them within 14 days, for an exchange OR a complete refund.
We are proud of all of our product's quality, design and value…..and we are sure you will be also.
We are so confident that you will be totally pleased and proud of the quality and value of your new "Toe Rings" that we offer an Unprecedented....
www.mauitoerings.com /productguarantee.html   (221 words)

  
 silver jewelry - wholesale silver jewelry, sterling silver Jewelry, Titanium Jewelry
Ring, earring, pendant, bracelet and necklace are our main jewelry shop.
Titanium jewelry is available in a variety of combinations of colors and attractive designed on Band rings, inlayed band rings, stone set band rings, engagement rings, High end bracelets.
Visit our online store for 925 silver jewelry, sterling silver jewelry, silver rings, silver bracelets, navel rings, silver earrings, silver pendants, body jewelry, body piercing jewelry and much more...
www.dhanish.com   (434 words)

  
 ProductRing -- the class of all product rings   (Site not responding. Last check: 2007-10-08)
If R and S are rings, then R * S denotes their product ring.
Each object of class ProductRing is called a product ring.
Each product ring is also a member of class Ring.
www.math.temple.edu /computing/Macaulay2/0756.html   (62 words)

  
 Magic Cabin Recall of Wooden Teething Rings   (Site not responding. Last check: 2007-10-08)
PRODUCT: Teething Rings - Magic Cabin of Madison, Va., is voluntarily recalling 107 Wooden Teething Rings, item numbers 828135 and 828136.
The teething rings are natural wood and shaped as a snail, bird or fish.
Magic Cabin sold the teething rings through its catalog and web site from September 2002 through November 2002 for about $15.
www.cpsc.gov /cpscpub/prerel/prhtml03/03518.html   (137 words)

  
 The Lord of the Rings
As many of you may know, Decipher currently has more than 440 Product Champion volunteers for The Lord of the Rings™ Trading Card Game, and that number is still rising.
We are still recruiting more volunteers for The Lord of the Rings TCG to assist continuous promotions beyond the release of the premier set of The Fellowship of the Ring.
Below is who to contact for an official The Lord of the Rings Product Champion application depending on where you live.
www.decipher.com /lordoftherings/volunteers/callforchampions3.html   (474 words)

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