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On the definition and the representability of quasi‐polyadic equality algebras
Mathematical Logic Quarterly, 2016We show that the usual axiom system of quasi polyadic equality algebras is strongly redundant. Then, so called non‐commutative quasi‐polyadic equality algebras are introduced (), in which, among others, the commutativity of cylindrifications is dropped.
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Pseudo-equality algebras and residuated posets
J. Multiple Valued Log. Soft Comput., 2020Summary: In this paper, we study the relationship between pseudo-equality algebras and quantum \(B\)-algebras and the relationship between pseudoequality algebras and residuated posets. Also, we present some properties of residuated posets and get a one-to-one correspondence between the congruences and normal filters in a residuated poset. We introduce
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On the C*-valued triangle equality and inequality in Hilbert C*-modules
Acta Mathematica Hungarica, 2008Ljiljana Arambasić, Rajna Rajic
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Implicative equality algebras and annihilators in equality algebras
Journal of Discrete Mathematical Sciences and CryptographyM Mohseni Takallo +2 more
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