Representations of strongly algebraically closed algebras

• Datum: 2019
• Hauptverfasser: Molkhasi, Ali, Shum, K. P.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: Sheffer stroke basic algebra; horizontal sum; strongly algebraically closed algebra; algebraic realizations; MV-algebra; \(q^\prime\)-compact algebra; 06D36; 06E05; 13L05.
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1242
• Назва журналу: Algebra and Discrete Mathematics

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.