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Ideals and congruences in quasi-pseudo-MV algebras

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0 Published in 2018 at "Soft Computing"

DOI: 10.1007/s00500-017-2854-6

Abstract: Quasi-pseudo-MV algebras (quasi-pMV algebras, for short) were introduced both as the generalization of quasi-MV algebras and as the generalization of pseudo-MV algebras. In the present paper, we mainly investigate ideals and congruences in a quasi-pMV… read more here.

Keywords: congruences quasi; quasi pmv; pseudo algebras; ideals congruences ... See more keywords

Monadic pseudo BE-algebras

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0 Published in 2019 at "Mathematica Slovaca"

DOI: 10.1515/ms-2017-0411

Abstract: Abstract In this paper we define the monadic pseudo BE-algebras and investigate their properties. We prove that the existential and universal quantifiers of a monadic pseudo BE-algebra form a residuated pair. Special properties are studied… read more here.

Keywords: pseudo; monadic pseudo; pseudo algebras; algebras monadic ... See more keywords