Jiří Rachůnek (1998)
Mathematica Bohemica
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In the paper it is proved that the category of -algebras is equivalent to the category of bounded -semigroups satisfying the identity . Consequently, by a result of D. Mundici, both categories are equivalent to the category of bounded commutative -algebras.
Ivan Chajda, Jan Kühr (2006)
Mathematica Slovaca
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Ján Jakubík (2006)
Mathematica Slovaca
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Ján Jakubík (2007)
Czechoslovak Mathematical Journal
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In this paper we investigate the relations between isometries and direct product decompositions of generalized -algebras.
Ivan Chajda, Miroslav Kolařík (2007)
Mathematica Bohemica
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It is well-known that every MV-algebra is a distributive lattice with respect to the induced order. Replacing this lattice by the so-called directoid (introduced by J. Ježek and R. Quackenbush) we obtain a weaker structure, the so-called skew MV-algebra. The paper is devoted to the axiomatization of skew MV-algebras, their properties and a description of the induced implication algebras.