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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.
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Biordered Sets of Regular Semigroups with Inverse Transversals
Southeast Asian Bulletin of Mathematics, 2001In 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, 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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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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Biordered superconductivity and strong pseudogap state
Physical Review B, 2007Yu V Kopaev, V I Belyavsky
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Concepts of congruence, morphic image and substructure for biordered sets†
Communications in Algebra, 1996T E Hall
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