Results 31 to 38 of about 57 (38)

Biordered Sets of Regular Semigroups with Inverse Transversals

Southeast Asian Bulletin of Mathematics, 2001
In a regular semigroup \(S\), an inverse subsemigroup \(S^\circ\) of \(S\) is called an inverse transversal of \(S\) if \(S^\circ\) contains a unique inverse \(x^\circ\) of each element \(x\) of \(S\). The subject of this paper is the class of biordered sets of regular semigroups with inverse transversals, known throughout as IT-biordered sets.
Tang, Xilin, Wang, Limin
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Concepts of congruence, morphic image and substructure for biordered sets^†

Communications in Algebra, 1996
The paper introduces what the authors believe to be the correct definitions of congruence, morphism and substructure of a biordered set.
K. Auinger, T.E. Hall
openaire   +1 more source

On maximal subgroups of idempotent-generated semigroups associated with biordered sets

2021
Given any biordered set $E$, we may form the idempotent-generated semigroup $F_E$, which is generated by the set $E$, subject to the relations $ef=e*f$ whenever $e$ and $f$ are elements of $E$ and $e*f$ is a basic product. Easdown proved in 1985 that the biordered set of $F_E$ is biorder isomorphic to $E$, thus demonstrating that the biordered set ...
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CONSTRUCTION OF A R-STRONGLY UNIT REGULAR MONOID FROM A REGULAR BIORDERED SET AND A GROUP

Asian-European Journal of Mathematics, 2011
In this paper we give a detailed study of R-strongly unit regular monoids. The relations between the biordered set of idempotents and the group of units in unit regular semigroups are better identified here. Conversely, starting from a regular biordered set E and a group G we construct a R-strongly unit regular semigroup S for which the set of ...
A. R. Rajan, V. K. Sreeja
openaire   +1 more source

A new proof that regular biordered sets come from regular semigroups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1984
SynopsisA new proof is given that all regular biordered sets come from regular semigroups.
openaire   +1 more source

Deciphering the Incredible Supercapacitor Performance of Conducting Biordered Ultramicroporous Graphitic Carbon

ACS Applied Energy Materials, 2021
Palak Mehra, Chanderpratap Singh, Arkaprabha Giri   +2 more
exaly  

Concepts of congruence, morphic image and substructure for biordered sets†

Communications in Algebra, 1996
K Auinger, T E Hall
exaly  

Biordered superconductivity and strong pseudogap state

Physical Review B, 2007
V I Belyavsky, Yu V Kopaev
exaly