On a Construction of ModularGMS-algebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 19-31
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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 $\mathbf {\underline{K}}_{2}$ by means of $\underline{K}_{2}$-quadruples. We also characterize isomorphisms of these algebras by means of $\underline{K}_{2}$-quadruples.
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.
Classification :
06D05, 06D30
Keywords: $\mathit {MS}$-algebras; $\mathit {GMS}$-algebras; $K_{2}$-algebras; Kleene algebras; isomorphisms
Keywords: $\mathit {MS}$-algebras; $\mathit {GMS}$-algebras; $K_{2}$-algebras; Kleene algebras; isomorphisms
@article{AUPO_2015_54_1_a1,
author = {Badawy, Abd El-Mohsen},
title = {On a {Construction} of {ModularGMS-algebras}},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {19--31},
year = {2015},
volume = {54},
number = {1},
mrnumber = {3468598},
zbl = {1356.06008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a1/}
}
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 SP - 19 EP - 31 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a1/ LA - en ID - AUPO_2015_54_1_a1 ER -
Badawy, Abd El-Mohsen. On a Construction of ModularGMS-algebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 19-31. http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a1/