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Topic: Subsemigroup


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In the News (Thu 10 Dec 09)

  
  PlanetMath: one-sided normality of subsemigroup
It may also be observed that the combination `left normal' in semigroup theory frequently occurs as part of the phrase `left normal band', but in that case the etymology rather seems to be that `left' qualifies the phrase `normal band'.
"one-sided normality of subsemigroup" is owned by lars_h.
This is version 3 of one-sided normality of subsemigroup, born on 2006-08-18, modified 2006-09-04.
planetmath.org /encyclopedia/OneSidedNormalityOfSubsemigroup.html   (187 words)

  
 paper2.html   (Site not responding. Last check: 2007-11-02)
of a semigroup, commutative semigroup, subsemigroup, idempotent element, identity element, zero element, nilpotent element, cyclic semigroup, group, unit, group of units, homomorphism, homomorphic image, isomorphic semigroups.
A subsemigroup of a commutative semigroup is commutative.
Since the semigroup of Chebychev polynomials cannot be treated as a whole, perhaps it is possible to divide it into several subsemigroups and count each of them seperately.
www.ms.uky.edu /~carl/peng/paper/paper21.html   (1320 words)

  
 Semigroup - ExampleProblems.com
A subset A of a semigroup S is called a subsemigroup if it is closed under the semigroup operation, that is, AA is a subset of A.
Green's relations are important tools for analysing the ideals of a semigroup, and related notions of structure.
A subsemigroup which is also a group is called a subgroup.
www.exampleproblems.com /wiki/index.php/Semigroup   (891 words)

  
 [No title]   (Site not responding. Last check: 2007-11-02)
If is_commutative(S) then for all a,b in carrier(S) a*b = b*a is_subsemigroup The binary boolean function whose value is true iff the second argument is a subsemigroup of the second.
When applied to S, it denotes the magma with the same element set and binary operation as S. subsemigroup This symbol is a constructor symbol with two arguments.
Its first argument should be a semigroup S and the second and third arguments should be elements of S.
www.win.tue.nl /~amc/oz/om/cds/semigroup1.html   (391 words)

  
 Dynamics = Algebra
is also closed (being the image of the compact set C under a continuous map) and a subsemigroup of C, so by minimality it equals C.
The information in Theorem 2 about ideals and subsemigroups can be used to give quick existence proofs for the corresponding sorts of ultrafilters.
is again a closed subsemigroup; it is non-empty by compactness, and it is obviously closed topologically and closed under addition.
at.yorku.ca /b/a/a/f/13.l2h/node3.htm   (723 words)

  
 descalco
We give a description of all subsemigroups of B and then we use it to prove several properties of the subsemigroups.
Each subsemigroup is characterized by a certain collection of parameters.
Then we show that all finitely generated subsemigroups of B are automatic and finitely presented.
www.ciul.ul.pt /~vhf/descalco/descalco.html   (376 words)

  
 Recent papers of Stuart W. Margolis   (Site not responding. Last check: 2007-11-02)
We prove that the problem of deciding if a finite semigroup embeds into a finite 0-simple semigroup whose maximal semigroups come from a pseudovariety of groups G is decidable if and only if the universal theory of V is decidable.
In particular, we have the result of Kublanovskii that there is no algorithm to decide if a finite semigroup is isomorphic to a subsemigroup of a finite 0-simple semigroup.
Bass-Serre theory for groupoids and the structure of full regular semigroup amalgams This is a joint paper with Stephen Haataja and John Meakin.
www.cs.biu.ac.il /~margolis/papers.html   (550 words)

  
 Untitled Document   (Site not responding. Last check: 2007-11-02)
Koch discovered that under certain conditions that a subsemigroup that is iseomorphic to the unit interval and containing the identity and zero could be found.
This lead to the definition of an irreducible semigroup which is a compact, connected semigroup that contains the identity and zero (there is no loss of generality in assuming a zero since the minimal ideal can always be shrunk to a point) and has no compact, connected subsemigroup that contains the zero and the identity.
It was easily shown that an irreducible semigroup need not be locally connected and so may not be iseomorphic to the unit interval.
www.math.umass.edu /~borrego   (278 words)

  
 Amazon.com: "finitely generated subsemigroup": Key Phrase page   (Site not responding. Last check: 2007-11-02)
Assume that J, SIJ are locally finite, and let T be a finitely generated subsemigroup of S. Then T/(J n T) is a finitely generated subsemigroup of S/J, so that it must be finite.
LRr is a finitely generated subsemigroup of the additive semigroup p3 C z3r r This is a special case of a much more general result well...
The defi- nitions of a finitely generated subsemigroup, or subring, or ideal of a ring are similar.
www.amazon.com /phrase/finitely-generated-subsemigroup   (486 words)

  
 Amazon.com: "closed subsemigroup": Key Phrase page   (Site not responding. Last check: 2007-11-02)
Recall here that a closed subsemigroup S of a Lie group G is called a Lie semigroup if it can be reconstructed from its tangent cone...
Let W be a proper generating invariant cone in g such that the set ['(W) = (expilt')G is a closed subsemigroup of Gc Moreover we assume that the map G x W -y ['(l'), defined by (g, r) - (exp i.
Prove that T is a closed subsemigroup of N. 15.2 Kernel Partition Regular Matrices If one has a group (G, +) and a matrix C with integer...
www.amazon.com /phrase/closed-subsemigroup   (560 words)

  
 [No title]   (Site not responding. Last check: 2007-11-02)
In particular, the closed subgroup lattices of topological groups and the closed subsemigroup lattices of topological semigroups have been the subject of continued investigation.
Let X be a subset of a topological inverse semigroup S. The inverse subsemigroup of S generated by X will be denoted  EMBED Equation.3  and its closure by  EMBED Equation.3 .
L(S) is denoted the lattice of all closed inverse subsemigroups of S. Let  EMBED Equation.3  be an ordinal sum of the closed inverse subsemigroups  EMBED Equation.3 .
www.math.uminho.pt /imapst/BorisTanana.doc   (319 words)

  
 Amazon.com: "dense subsemigroup": Key Phrase page   (Site not responding. Last check: 2007-11-02)
In particular, the right-hand side is an open dense subsemigroup of r (C).
Theorem 2.4.11 (Denseness of P(E) in I(E)) P(E) is a r,,,-dense subsemigroup of I(E).
The Ellis groups which are so obtained are examples of right topological compact groups G with dense subsemigroup AG.
www.amazon.com /phrase/dense-subsemigroup   (558 words)

  
 Amazon.com: "cancellative subsemigroup": Key Phrase page   (Site not responding. Last check: 2007-11-02)
If H is the maximal subgroup of1j/Ij_i containings ande, then SnH 3sSs\{9} is a cancellative subsemigroup of S. Further, S n H is irreducible in eM„(D)e if S is irreducible in M„(D).
In [15, Theorem 5.17], Matsuda shows that if S is a commutative cancellative subsemigroup of the set of non-negative integers Z+ with G(S) = Z (so S...
Let S be a cancellative subsemigroup of Mn(F).
www.amazon.com /phrase/cancellative-subsemigroup   (507 words)

  
 subsemigroup - OneLook Dictionary Search
Tip: Click on the first link on a line below to go directly to a page where "subsemigroup" is defined.
Subsemigroup : Eric Weisstein's World of Mathematics [home, info]
Phrases that include subsemigroup: subsemigroup submonoid and subgroup
www.onelook.com /?w=subsemigroup   (85 words)

  
 University of Lisbon: Mathematics Preprints   (Site not responding. Last check: 2007-11-02)
Title: Finite abundant semigroups in which the idempotents form a subsemigroup
We consider certain abundant semigroups in which the idempotents form a subsemigroup, and which we call bountiful semigroups.
We find a simple criterion for a finite bountiful semigroup to be a member of the join of the pseudovarieties of finite groups and finite aperiodic semigroups.
wwmat.ptmat.fc.ul.pt /prepubmat/preprints.cgi?action=show_preprint&preprint_id=117   (56 words)

  
 [math/0411141] Wild and Wooley Numbers   (Site not responding. Last check: 2007-11-02)
This paper studies the multiplicative semigroup generated by all rationals of the form (3n+2)/(2n+1) for nonnegative integers n, together with 1/2.
The subsemigroup of integers in this semigroup is called the wild integer semigroup, and the wild numbers are the irreducible elements in this subsemigroup.
The subsemigroup of integers in the multiplicative semigroup generated by all rationals of the form (3n+2)/(2n+1) for nonnegative integers n is called the Wooley integer semigroup and its irreducible elements are called Wooley numbers.
www.arxiv.org /math.NT/0411141   (161 words)

  
 Citebase - Semi-hyperbolic fibered rational maps and rational semigroups   (Site not responding. Last check: 2007-11-02)
In this context, without any assumption on (semi-)hyperbolicity, we show that the fiberwise Julia sets are uniformly perfect.
From this result, we show that, for any semigroup G generated by a compact family of rational maps on the Riemann sphere of degree two or greater, the Julia set of any subsemigroup of G is uniformly perfect.
We define the semi-hyperbolicity of dynamics on fiber bundles and show that, if the dynamics on a fiber bundle is semi-hyperbolic, then the fiberwise Julia sets are porous, and the dynamics is weakly rigid.
citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0509719   (284 words)

  
 Chulalongkorn University Library - TJI
The main results of this research are Theorem 1.
(2) CPX has a proper dense subsemigroup if and only if [X] > 1.
(1) If (F,.) has a proper dense subsemigroup, then so does S. (2) If S has a proper dense subsemigroup, then F is infinite
library.car.chula.ac.th:82 /record=b103424*thx   (155 words)

  
 AMCA: Ultrafilters on the collection of finite subsets of an infinite set by Arthur D. Grainger   (Site not responding. Last check: 2007-11-02)
(I) is a closed subsemigroup of (\betaI, \uplus), the set \beta
A} is a closed subsemigroup of (\betaI, \uplus), \beta
The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
at.yorku.ca /c/a/k/b/82.htm   (247 words)

  
 FMI | SZS | Publications
We invite the reader to join our quest for the largest subsemigroup of a transformation monoid on
In particular, we will see how a surprising connection to graph colouring and chromatic polynomials is very helpful to count the elements of the investigated subsemigroup of transformations.
At the end of our search, we will present some applications of these results to state complexity problems for one- and two-way finite automata.
www.fmi.uni-stuttgart.de /szs/publications/info/koenigba.HK04a.shtml   (151 words)

  
 Citations: unitary inversive covers for E-inversive semigroups whose idempotents form a subsemigroup - Jiang ...
Citations: unitary inversive covers for E-inversive semigroups whose idempotents form a subsemigroup - Jiang (ResearchIndex)
Zhonghao Jiang, E-unitary inversive covers for E-inversive semigroups whose idempotents form a subsemigroup, Southeast Asian Bull.
Given an E dense monoid M, let c M be the E dense, D unitary cover of....
citeseer.ist.psu.edu /context/209559/0   (308 words)

  
 On transformation semigroups which are ℬ𝒬-semigroups
It is known that every regular semigroup is a
In 1966, Magill introduced and studied the subsemigroup
A special issue on Advances in Subwavelength Photonics: Physics, Materials, and Engineering is now open for submission
www.hindawi.com /GetArticle.aspx?doi=10.1155/IJMMS/2006/12757&e=ref   (98 words)

  
 Distinguishability Condition and the Future Subsemigroup (ResearchIndex)
Here we focus our attention on one concrete metric...
@misc{ and-distinguishability, author = "Levichev And", title = "Distinguishability Condition and the Future Subsemigroup", url = "citeseer.ist.psu.edu/120214.html" }
Distinguishability Condition and the Future Subsemigroup - Levichev, Levicheva (1992)
citeseer.ist.psu.edu /120214.html   (189 words)

  
 Universidade do Minho: Registo 1822/1493   (Site not responding. Last check: 2007-11-02)
Suppose X is a set with cardinal p and let q be an infinite cardinal less or equal than p.
Let B=BL(p,q) denote the Baer-Levi semigroup defined on X. In 1984, Howie and Marques-Smith showed that, if p=q, then BB^{-1}=I(X), the symmetric inverse semigroup on X, and they described the subsemigroup of I(X) generated by B^{-1}B. In 1994, Lima extended that work to `independence algebras', and thus also to vector spaces.
In this paper, we answer the natural question: what happens when p>q?
repositorium.sdum.uminho.pt /handle/1822/1493   (143 words)

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