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On a Construction of ModularGMS-algebras

Abd El-Mohsen Badawy (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper we investigate the class of all modular GMS-algebras which contains the class of MS-algebras. We construct modular GMS-algebras from the variety 𝐊 ̲ 2 by means of K ̲ 2 -quadruples. We also characterize isomorphisms of these algebras by means of K ̲ 2 -quadruples.

On a homogeneity condition for M V -algebras

Ján Jakubík (2006)

Czechoslovak Mathematical Journal

In this paper we deal with a homogeneity condition for an M V -algebra concerning a generalized cardinal property. As an application, we consider the homogeneity with respect to α -completeness, where α runs over the class of all infinite cardinals.

On a period of elements of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.

On a periodic part of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.

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