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Clifford congruences on generalized quasi-orthodox GV-semigroups

100%

Maity S.

Discussiones Mathematicae - General Algebra and Applications

2013

tom 33

nr 2

137-145

A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. A completely π-regular semigroup S is said to be a GV-semigroup if all the regular elements of S are completely regular. The present paper is devoted to the study of generalized quasi-orthodox GV-semigroups and least Clifford congruences on them.

On the lattice of congruences on inverse semirings

88%

Bhuniya A., Bhuniya A.

Discussiones Mathematicae - General Algebra and Applications

2008

tom 28

nr 2

193-208

Let S be a semiring whose additive reduct (S,+) is an inverse semigroup. The relations θ and k, induced by tr and ker (resp.), are congruences on the lattice C(S) of all congruences on S. For ρ ∈ C(S), we have introduced four congruences $ρ_{min}, ρ_{max}, ρ^{min}$ and $ρ^{max}$ on S and showed that $ρθ = [ρ_{min},ρ_{max}]$ and $ρκ = [ρ^{min},ρ^{max}]$. Different properties of ρθ and ρκ have been considered here. A congruence ρ on S is a Clifford congruence if and only if $ρ_{max}$ is a distributive lattice congruence and $ρ^{max}$ is a skew-ring congruence on S. If η (σ) is the least distributive lattice (resp. skew-ring) congruence on S then η ∩ σ is the least Clifford congruence on S.

The Clifford semiring congruences on an additive regular semiring

88%

Bhuniya A.

Discussiones Mathematicae - General Algebra and Applications

2014

tom 34

nr 2

143-153

A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.

Ograniczanie wyników

3 Discussiones Mathematicae - General Algebra and Applications

2 Bhuniya A.

1 Maity S.

1 2014

1 2013

1 2008

Wyniki wyszukiwania

Clifford congruences on generalized quasi-orthodox GV-semigroups

On the lattice of congruences on inverse semirings

The Clifford semiring congruences on an additive regular semiring