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Topic: Jacobson radical

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	PlanetMath: radical theory
		Radical theory is the study of radical properties and their interrelations.
		Cross-references: Jacobson radical, quasi-regularity, nilpotency is not a radical property, nil, nil is a radical property, nilpotent rings, isomorphic, simple rings, partition, contains, homomorphic images, closed under, class, identity elements, ideal, ring, property, represent
		This is version 7 of radical theory, born on 2002-12-07, modified 2004-02-28.
	planetmath.org /encyclopedia/Radical2.html (0 words)

	Jacobson radical (Site not responding. Last check: )
		The Jacobson radical of a ring R is an ideal of R which in a sense contains "superfluous" elements of R which are "close to zero".
		The Jacobson radical of the integers is {0}.
		The Jacobson radical of this ring is generated by all the paths in Γ of length ≥ 1.
	www.ebroadcast.com.au /lookup/encyclopedia/ja/Jacobson_radical.html (385 words)

	PlanetMath: Jacobson radical
		The following are alternate characterizations of the Jacobson radical
		Note that the Jacobson radical can also be defined for rings without identity.
		This is version 15 of Jacobson radical, born on 2002-04-20, modified 2004-10-05.
	planetmath.org /encyclopedia/JacobsonRadical.html (106 words)

	Jacobson radical - Definition, explanation
		In ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal of R which contains those elements of R which in a sense are "close to zero".
		The Jacobson radical of the integers is {0}.
		The Jacobson radical of this ring is generated by all the paths in Γ of length ≥ 1.
	www.calsky.com /lexikon/en/txt/j/ja/jacobson_radical.php (0 words)

	PlanetMath: a ring modulo its Jacobson radical is semiprimitive
		Then by one of the alternate characterizations of the Jacobson radical,
		"a ring modulo its Jacobson radical is semiprimitive" is owned by yark.
		This is version 6 of a ring modulo its Jacobson radical is semiprimitive, born on 2002-07-02, modified 2005-12-23.
	www.planetmath.org /encyclopedia/ARingModuloItsJacobsonRadicalIsSemiprimitive.html (0 words)

	Jacobson radical - ExampleProblems.com
		In ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal of R which contains those elements of R which in a sense are "close to zero".
		The Jacobson radical is named for Nathan Jacobson, who first studied the Jacobson radical.
		The Jacobson radical of this ring is generated by all the paths in Γ of length ≥ 1.
	www.exampleproblems.com /wiki/index.php/Jacobson_radical (514 words)

	Radical (chemistry) Encyclopedia (Site not responding. Last check: )
		In the upper atmosphere free radicals are produced through dissociation of the source molecules, particularly the normally unreactive chlorofluorocarbons by solar ultraviolet radiation or by reactions with other stratospheric constituents.
		Free radicals play an important role in a number of biological processes, some of which are necessary for life, such as the intracellular killing of bacteria by neutrophil granulocytes.
		Because free radicals are necessary for life, the body has a number of mechanisms to minimize free radical induced damage and to repair damage which does occur, such as the enzymes superoxide dismutase, catalase, glutathione peroxidase and glutathione reductase.
	www.hallencyclopedia.com /topic/Radical_(chemistry).html (2642 words)

	Bulletin of the American Mathematical Society
		Braun, A., The nilpotency of the radical in a finitely generated PI-ring, J. Algebra 89 (1984), 375-396.
		Jacobson, N., Structure theory for algebraic algebras of bounded degree, Ann.
		Razmyslov, Yu.P., The Jacobson radical in PI-algebras, Algebra and Logic 13 (1974), no. 3, 192-204.
	www.ams.org /bull/2006-43-02/S0273-0979-06-01082-2 (0 words)

	Jacobson Radical
		The goal is to prove the following characterization of Jacobson radical for an arbitrary ring R.
		Lemma 3..7 The Jacobson radical R contains every left quasiregular ideal.
		Lemma 3..8 Let I be a left ideal of a ring R such that.
	www.maths.warwick.ac.uk /~rumynin/rings2002/ln/node25.html (148 words)

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	www.brasstacksdesign.com (0 words)

	Abstracts of Papers
		We develop a general framework to characterize the Jacobson radical of a completely distributive CSL algebra, which reduces the problem to a combinatoric problem.
		We solve this combinatoric problem in two dimensions, hence characterizing the Jacobson radical of width-two CSLs (both the completely distributive case, and the non CD).
		Ths paper characterizes those nest algebras for which the Jacobson radical is singly generated.
	www.math.unl.edu /~jorr1/research/abstracts.html (765 words)

	Uniserial functors, Jacobson radical and representation type (ResearchIndex)
		If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
		Abstract: this paper is to provide further evidence that three important notions in the representation theory of A are closely related, namely (i) the representation type of A, (ii) the vanishing of powers of the Jacobson radical of mod(A), (iii) dimensions of functors from mod(A) to mod(k) (Update)
		1 the innite radical of a module category (context) - Schr, On The Krull-Gabriel dimension of an algebra - open problems an..
	citeseer.ist.psu.edu /prest00uniserial.html (0 words)

	Ivar Jacobson \| Process Improvement Services \| Resources
		Ivar Jacobson explores agile methods and where they could go in the next generation of software deve
		Ivar Jacobson explores the complexities of modern IT Enterprise Architectures.
		Read about what is happening with Ivar Jacobson Consulting Americas in our monthly newsletter.
	www.ivarjacobson.com /resources.cfm (0 words)

	Math Forum Discussions - Re: another quaternion question (oops) (Site not responding. Last check: )
		> >> >> > That is not the Jacobson radical.
		> >> >> > The Jacobson radical of a ring is the intersection
		But in this case the Jacobson radical is the
	www.mathforum.com /kb/thread.jspa?forumID=13&threadID=103248&messageID=527492 (180 words)

	Ivar Jacobson \| Process Improvement Services \| Resources (Site not responding. Last check: )
		Ivar Jacobson explores CMMI and it's relationship to software development.
		Ivar Jacobson explores the complexities of modern IT Enterprise Architectures.
		Read about what is happening with Ivar Jacobson Consulting Americas in our monthly newsletter.
	www1.ivarjacobson.com /resources.cfm (1126 words)

	theWatt: Energy News and Discussion
		Arne Jacobson (from Humboldt State University) and Sass Peress (from ICP Solar)
		A big danger here is that consumers may be turned off of photovoltaics all-together if they consistently come across a module with bad performance.
		Note: Studies using solar panels distributed in Kenya in 2004/2005 showed that Shenzhen Topray is the company to avoid.
	www.thewatt.com /article-topic-30.html&author= (0 words)

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