Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/E-dense_semigroup> ?p ?o }
Showing triples 1 to 34 of
34
with 100 triples per page.
- E-dense_semigroup abstract "In abstract algebra, an E-dense semigroup (also called an E-inversive semigroup) is a semigroup in which every element a has at least one weak inverse x, meaning that xax = x. The notion of weak inverse is (as the name suggests) weaker than the notion of inverse used in a regular semigroup (which requires that axa=a).The above definition of an E-inversive semigroup S is equivalent with any of the following: for every element a ∈ S there exists another element b ∈ S such that ab is an idempotent. for every element a ∈ S there exists another element c ∈ S such that ca is an idempotent.This explains the name of the notion as the set of idempotents of a semigroup S is typically denoted by E(S).The concept of E-inversive semigroup was introduced by Gabriel Thierrin in 1955. Some authors use E-dense to refer only to E-inversive semigroups in which the idempotents commute.More generally, a subsemigroup T of S is said dense in S if, for all x ∈ S, there exists y ∈ S such that both xy ∈ T and yx ∈ T.A semigroup with zero is said to be an E*-dense semigroup if every element other than the zero has at least one non-zero weak inverse. Semigroups in this class have also been called 0-inversive semigroups.".
- E-dense_semigroup wikiPageID "43721974".
- E-dense_semigroup wikiPageLength "3693".
- E-dense_semigroup wikiPageOutDegree "16".
- E-dense_semigroup wikiPageRevisionID "695972764".
- E-dense_semigroup wikiPageWikiLink Abstract_algebra.
- E-dense_semigroup wikiPageWikiLink Category:Algebraic_structures.
- E-dense_semigroup wikiPageWikiLink Category:Semigroup_theory.
- E-dense_semigroup wikiPageWikiLink Dense_set.
- E-dense_semigroup wikiPageWikiLink E-semigroup.
- E-dense_semigroup wikiPageWikiLink Gabriel_Thierrin.
- E-dense_semigroup wikiPageWikiLink Idempotence.
- E-dense_semigroup wikiPageWikiLink Krohn–Rhodes_theory.
- E-dense_semigroup wikiPageWikiLink Monogenic_semigroup.
- E-dense_semigroup wikiPageWikiLink Regular_semigroup.
- E-dense_semigroup wikiPageWikiLink Semigroup.
- E-dense_semigroup wikiPageWikiLink Special_classes_of_semigroups.
- E-dense_semigroup wikiPageWikiLink Weak_inverse.
- E-dense_semigroup wikiPageWikiLinkText "''E''-dense (aka ''E''-inversive) semigroup".
- E-dense_semigroup wikiPageWikiLinkText "''E''-inversive or ''E''-dense semigroup".
- E-dense_semigroup wikiPageWikiLinkText "''E''-inversive semigroup".
- E-dense_semigroup wikiPageWikiLinkText "E-dense semigroup".
- E-dense_semigroup wikiPageUsesTemplate Template:Algebra-stub.
- E-dense_semigroup wikiPageUsesTemplate Template:Reflist.
- E-dense_semigroup subject Category:Algebraic_structures.
- E-dense_semigroup subject Category:Semigroup_theory.
- E-dense_semigroup hypernym Semigroup.
- E-dense_semigroup comment "In abstract algebra, an E-dense semigroup (also called an E-inversive semigroup) is a semigroup in which every element a has at least one weak inverse x, meaning that xax = x.".
- E-dense_semigroup label "E-dense semigroup".
- E-dense_semigroup sameAs Q18206693.
- E-dense_semigroup sameAs m.011sm6p4.
- E-dense_semigroup sameAs Q18206693.
- E-dense_semigroup wasDerivedFrom E-dense_semigroup?oldid=695972764.
- E-dense_semigroup isPrimaryTopicOf E-dense_semigroup.