A note on congruence systems of MS-algebras

M. Campercholi; Diego Vaggione

Displaying similar documents to “A note on congruence systems of MS-algebras”

Semiregularity of congruences implies congruence modularity at 0

Ivan Chajda (2002)

Czechoslovak Mathematical Journal

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We introduce a weakened form of regularity, the so called semiregularity, and we show that if every diagonal subalgebra of $𝒜 \times 𝒜$ is semiregular then $𝒜$ is congruence modular at 0.

Trapezoid lemma and congruence distributivity

Ivan Chajda, Gábor Czédli, Eszter K. Horváth (2003)

Mathematica Slovaca

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Congruence restrictions on axes

Jaromír Duda (1992)

Mathematica Bohemica

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We give Mal’cev conditions for varieties 4V4 whose congruences on the product $A \times B, A, B \in V$ , are determined by their restrictions on the axes in $A \times B$ .

Independence of Equational Classes

Hilda Draškovičová (1973)

Matematický časopis

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On the lattice of congruences on inverse semirings

Anwesha Bhuniya, Anjan Kumar Bhuniya (2008)

Discussiones Mathematicae - General Algebra and Applications

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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 $ρ_{m i n}, ρ_{m a x}, ρ^{m i n}$ and $ρ^{m a x}$ on S and showed that $ρ θ = [ρ_{m i n}, ρ_{m a x}]$ and $ρ κ = [ρ^{m i n}, ρ^{m a x}]$ . Different properties of ρθ and ρκ have been considered here. A congruence ρ on S is a Clifford congruence if and only if $ρ_{m a x}$ is a distributive lattice congruence and $ρ^{m a x}$ is a skew-ring congruence on S. If η (σ) is the...