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Algebra and Discrete Mathematics, 2019, Volume 28, Issue 1, Pages 130–143 (Mi adm719)  
This article is cited in 1 scientific paper (total in 1 paper)

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
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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.
Received: 22.03.2018
Revised: 12.10.2018
Document Type: Article
MSC: 06D36, 06E05, 13L05
Language: English
Citation: A. Molkhasi, K. P. Shum, “Representations of strongly algebraically closed algebras”, Algebra Discrete Math., 28:1 (2019), 130–143
Citation in format AMSBIB
\Bibitem{MolShu19}
\by A.~Molkhasi, K.~P.~Shum
\paper Representations of strongly algebraically closed algebras
\jour Algebra Discrete Math.
\yr 2019
\vol 28
\issue 1
\pages 130--143
\mathnet{http://mi.mathnet.ru/adm719}
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    		Algebra and Discrete Mathematics
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