Filters of strong Sheffer stroke non-associative MV-algebras

Oner Tahsin; Katican Tugce; Saeid Arsham Borumand; Terziler Mehmet

doi:10.2478/auom-2021-0010

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Mar 2021)

Filters of strong Sheffer stroke non-associative MV-algebras

Oner Tahsin,
Katican Tugce,
Saeid Arsham Borumand,
Terziler Mehmet

Affiliations

Oner Tahsin: Department of Mathematics, Ege University, 35100Izmir, Turkey.
Katican Tugce: Department of Mathematics, Ege University, 35100Izmir, Turkey.
Saeid Arsham Borumand: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
Terziler Mehmet: Department of Mathematics, Yasar University, 35100Izmir, Turkey.

DOI: https://doi.org/10.2478/auom-2021-0010
Journal volume & issue: Vol. 29, no. 1
pp. 143 – 164

Abstract

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In this paper, at first we study strong Sheffer stroke NMV-algebra. For getting more results and some classification, the notions of filters and subalgebras are introduced and studied. Finally, by a congruence relation, we construct a quotient strong Sheffer stroke NMV-algebra and isomorphism theorems are proved.

Published in Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

ISSN: 1224-1784 (Print); 1844-0835 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AUOM

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