Complete decomposable MS-algebras

Badawy, Abd El-Mohsen; Gaber, Ahmed

doi:10.1186/s42787-019-0027-8

Cited by 2 publications

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“…Blyth and Varlet [2] characterized the subvarieties of the class MS of all MS-algebras. Badawy, Guffova, and Haviar [3] introduced and characterized the class of principal MS-algebras and the class of decomposable MS-algebras by means of triples. Badawy [4] introduced and studied many properties of d L -filters of principal MSalgebras.…”

Section: Introductionmentioning

confidence: 99%

Balanced factor congruences of double MS-algebras

Badawy

2019

J Egypt Math Soc

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In this paper, we introduce the concepts of Stone elements, central elements and Birkhoof central elements of a double MS-algebra and study their related properties. We observe that the center C(L) of a double MS-algebra L is precisely the Birkhoof center BC(L) of L. A complete description of factor congruences on a double MS-algebra is given by means of the central elements. A characterization of balanced factor congruences of double MS-algebra is obtained. A one-to-one correspondence between the class of all balanced factor congruences of a double MS-algebra L and the central elements of L is obtained.

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Section: Introductionmentioning

confidence: 99%

Balanced factor congruences of double MS-algebras

Badawy

2019

J Egypt Math Soc

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Quadruple construction of decomposable doubleMS-algebras

Badawy

Hussein

Gaber

2020

Mathematica Slovaca

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This paper is devoted to the study of the class of decomposable double MS-algebras. Necessary and sufficient conditions for a decomposable MS-algebra to be a decomposable double MS-algebra are deduced. We construct decomposable double MS-algebras by means of decomposable MS-quadruples and we prove that there exists a one-to-one correspondence between decomposable double MS-algebras and decomposable MS-quadruples. Moreover, a construction of decomposable K2-algebras (Stone algebras) by means of K2-quadruples (Stone quadruples) is given. We conclude by introducing and characterizing isomorphisms of decomposable double MS-algebras in terms of decomposable MS-quadruples.

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Complete decomposable MS-algebras

Cited by 2 publications

References 9 publications

Balanced factor congruences of double MS-algebras

Balanced factor congruences of double MS-algebras

Quadruple construction of decomposable doubleMS-algebras

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