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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2019 Volume 28, Issue 1, Pages 130–143 (Mi adm719)
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RESEARCH ARTICLE

Representations of strongly algebraically closed algebras

A. Molkhasia, K. P. Shumb

a Department of Mathematics, Faculty of Mathematical Sciences, Farhangian University, Tabriz, Iran
b Institute of Mathematics Yunnan University, Kunming, P.R. China

Abstract: We introduce the notion of $q^\prime$-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras.

Keywords: Sheffer stroke basic algebra, horizontal sum, strongly algebraically closed algebra, algebraic realizations, MV-algebra, $q'$-compact algebra.

MSC: 06D36, 06E05, 13L05

Received: 22.03.2018
Revised: 12.10.2018

Language: English


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