Results 21 to 30 of about 57 (38)
Some of the next articles are maybe not open access.
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
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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
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Biordered Sets and Regular Rings
Springer Proceedings in Mathematics and Statistics, 2015Biordered sets were introduced in [3] to describe the structure of regular semigroups. In [1] it is shown that the ideals of a regular ring forms a complemented modular lattices. Here we describe the biordered set of such a regular ring.
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Biordered Sets of Regular Semigroups with Inverse Transversals1
Southeast Asian Bulletin of Mathematics, 2001In a regular semigroup S, an inverse subsemigroup S° of S is called an inverse transversal of S if S° contains a unique inverse x° of each element x of S. An inverse transversal S° of S is called a Q-inverse transversal of S if S° is a quasi-ideal of S.
Xilin Tang
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Locally Ordered Biordered Sets
Communications in Algebra, 2010It is shown that a representation φ introduced by Easdown and Hall [10] affords a natural construction of biordered sets that are locally like semilattices from those that are locally like ordered sets. If E is a biordered set which is locally like an ordered set, then the biordered set E(⟨Eφ⟩) is locally like a semilattice. In particular, the property
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Biordered Sets of Eventually Regular Semigroups
Proceedings of the London Mathematical Society, 1984\textit{K. S. S. Nambooripad} [Mem. Am. Math. Soc. 224 (1979; Zbl 0457.20051)] introduced the concept of a biordered set as a partial algebra satisfying several axioms, and proved that the set of idempotents of any semigroup forms a biordered set in a natural way.
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SUBGROUPS OF THE FREE SEMIGROUP ON A BIORDERED SET IN WHICH PRINCIPAL IDEALS ARE SINGLETONS
Communications in Algebra, 2002ABSTRACT Easdown has conjectured that the subgroups of the free semigroup on an arbitrary biordered set are free. In this note a weaker conjecture is verified. It is shown that the subgroups of the free semigroup on a biordered set in which principal ideals are singletons are free.
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2021
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
openaire +1 more source