Results 11 to 20 of about 54 (36)
Idempotent‐separating extensions of regular semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 18, Page 2945-2975, 2005., 2005 For a regular biordered set E, the notion of E‐diagram and the associated regular semigroup was introduced in our previous paper (1995). Given a regular biordered set E, an E‐diagram in a category C is a collection of objects, indexed by the elements of E and morphisms of C satisfying certain compatibility conditions.
A. Tamilarasi
wiley +1 more source
Biordered sets of semigroups [PDF]
Bulletin of the Australian Mathematical Society, 1984 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET [PDF]
International Journal of Algebra and Computation, 2010 We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup.
David Easdown +2 more
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Free idempotent generated semigroups over bands and biordered sets with trivial products [PDF]
International Journal of Algebra and Computation, 2016 For any biordered set of idempotents [Formula: see text] there is an initial object [Formula: see text], the free idempotent generated semigroup over[Formula: see text], in the category of semigroups generated by a set of idempotents biorder-isomorphic to [Formula: see text].
Yang, Dandan +1 more
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Biordered Sets of Regular Rings
, 2020 The set of idempotents of a regular semigroup is given an abstract characterization as a regular biordered set in [2], and in [4] it is shown how a biordered set can be associated with a complemented modular lattice. Von Neumann has shown earlier that any complemented modular lattice of order greater than 3 can be realized as the lattice of principal ...
Alexander, James, Krishnan, E.
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Biordered sets of lattices and homogeneous basis
, 2020 10 pages zero ...
Romeo, P. G., R, Akhila.
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ON MAXIMAL SUBGROUPS OF IDEMPOTENT-GENERATED SEMIGROUPS ASSOCIATED WITH BIORDERED SETS [PDF]
Bulletin of the Australian Mathematical Society, 2022 openaire +1 more source
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Biordered sets and fundamental semigroups
Semigroup Forum, 2010For any abstract biordered set (boset) \(E\) is constructed a semigroup \(T_E\) such that \(T_E\) and its symmetric subsemigroups are fundamental and generated by regular elements; any full subsemigroup of \(T_E\) for any boset \(E\) generated by regular elements is also fundamental.
Easdown, David +2 more
exaly +3 more sources
1992
Abstract In Section 1.5 the notion of the biordered set of a semigroupS was introduced, along with the associated idea of a sandwich set of an ordered pair of idempotents,S(e,f). That an element may always be drawn fromS(e,f) in caseS is regular was used implicitly in Theorem 1.4.17, and sandwich sets were also used to describe those ...
Peter M Higgins
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Abstract In Section 1.5 the notion of the biordered set of a semigroupS was introduced, along with the associated idea of a sandwich set of an ordered pair of idempotents,S(e,f). That an element may always be drawn fromS(e,f) in caseS is regular was used implicitly in Theorem 1.4.17, and sandwich sets were also used to describe those ...
Peter M Higgins
exaly +2 more sources
Semigroup Forum, 2006
We give a characterization and a representation of LRT-biordered sets. IT-biordered sets form a subclass of the class of all LRT-biordered sets: they are the biordered sets of idempotents of regular semigroups with an inverse transversal.
Xilin Tang
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We give a characterization and a representation of LRT-biordered sets. IT-biordered sets form a subclass of the class of all LRT-biordered sets: they are the biordered sets of idempotents of regular semigroups with an inverse transversal.
Xilin Tang
exaly +2 more sources