On a Construction of ModularGMS-algebras

Abd El-Mohsen Badawy

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)

  • Volume: 54, Issue: 1, page 19-31
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Badawy, Abd El-Mohsen. "On a Construction of ModularGMS-algebras." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.1 (2015): 19-31. <http://eudml.org/doc/271643>.

@article{Badawy2015,
abstract = {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 $\mathbf \{\underline\{K\}\}_\{2\}$ by means of $\underline\{K\}_\{2\}$-quadruples. We also characterize isomorphisms of these algebras by means of $\underline\{K\}_\{2\}$-quadruples.},
author = {Badawy, Abd El-Mohsen},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {$\mathit \{MS\}$-algebras; $\mathit \{GMS\}$-algebras; $K_\{2\}$-algebras; Kleene algebras; isomorphisms},
language = {eng},
number = {1},
pages = {19-31},
publisher = {Palacký University Olomouc},
title = {On a Construction of ModularGMS-algebras},
url = {http://eudml.org/doc/271643},
volume = {54},
year = {2015},
}

TY - JOUR
AU - Badawy, Abd El-Mohsen
TI - On a Construction of ModularGMS-algebras
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 1
SP - 19
EP - 31
AB - 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 $\mathbf {\underline{K}}_{2}$ by means of $\underline{K}_{2}$-quadruples. We also characterize isomorphisms of these algebras by means of $\underline{K}_{2}$-quadruples.
LA - eng
KW - $\mathit {MS}$-algebras; $\mathit {GMS}$-algebras; $K_{2}$-algebras; Kleene algebras; isomorphisms
UR - http://eudml.org/doc/271643
ER -

References

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