Representations of strongly algebraically closed algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Molkhasi, A., Shum, K.P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188482
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Representations of strongly algebraically closed algebras / A. Molkhasi, K.P. Shum // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 1. — С. 130–143. — Бібліогр.: 51 назв. — англ.

We introduce the notion of q′-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.