Results 31 to 36 of about 54 (36)
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Concepts of congruence, morphic image and substructure for biordered sets†
Communications in Algebra, 1996The 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
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On maximal subgroups of idempotent-generated semigroups associated with biordered sets
2021Given 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, 2011In 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
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A new proof that regular biordered sets come from regular semigroups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1984SynopsisA new proof is given that all regular biordered sets come from regular semigroups.
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Concepts of congruence, morphic image and substructure for biordered sets†
Communications in Algebra, 1996K Auinger, T E Hall
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