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Clifford congruences on an idempotent-surjective R-semigroup
Authors: R. S. Gigon
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Abstract
We describe the least Clifford congruence on an idempotent-surjective R-semigroup, and so we generalize the result of LaTorre (1983). In addition, a characterization of all Clifford congruences on such a semigroup (in particular, on a structurally regular semigroup) is given. Moreover, using some earlier result, we give a description of all USG-congruences on an idempotent-surjective semigroup, and so we generalize the result of Howie and Lallement for regular semigroups (1966). Finally, in Section 4 we study the subdirect products of an E-unitary semigroup and a Clifford semigroup.Fulltext
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Contents
- Bipolar fuzzy Lie superalgebras
- Recursively r-differentiable quasigroups within S-systems and MDS-codes
- A characterization of binary invertible algebras of various types of linearity
- Generalized IP-loops
- D-loops
- Prime and weakly prime ideals in semirings
- Congruences on completely inverse AG**-groupoids
- Construction of subdirectly irreducible SQS-skeins
- Clifford congruences on an idempotent-surjective R-semigroup
- A new characterization of Osborn-Buchsteiner loops
- Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals
- On fuzzy ordered semigroups
- On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups
- New signature scheme based on difficulty of finding roots
- Some remarks on Abel-Grassmann's groupsC
- Polyadic groups and automorphisms of cyclic extensions
