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Some results on E-inversive semigroups
Authors: R. S. Gigon
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Abstract
We show that E-inversive semigroups are M-semigroups and we prove that M-biordered sets arise from E-inversive semigroups. Moreover, some connections between bi-ideals of an E-inversive semigroup S and bi-order ideals, order bi-ideals of the biordered set ES of S are given. Further, some results of Janet Mills concerning matrix congruences on orthodox semigroups are generalized to E-inversive E-semigroups. Also, we prove that the class of all E-inversive semigroups is structurally closed.Fulltext
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Contents
- The varieties of Bol-Moufang quasigroups defined by a single operation
- On WIP loops
- Parametrization of actions of a subgroup of the modular group
- A Zariski topology for k-semirings
- Some enumerational results relating the numbers of latin and frequency squares of order n
- Some results on E-inversive semigroups
- On fuzzy ordered semigroups
- Varieties of rectangular quasigroups
- Essential operations of clones
- The spectrum of a variety of modular groupoids
- Right k-weakly regular hemirings
- Congruences of ternary semigroups
- Quotient hyper residuated lattices
