Representations of Sheffer stroke algebras and Visser algebras
| Autor: | Ali Molkhasi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Algebraic structure 02 engineering and technology Congruence relation Prime (order theory) Theoretical Computer Science Elementary algebra 020901 industrial engineering & automation Compact space Lattice (order) 0202 electrical engineering electronic engineering information engineering Sheffer stroke 020201 artificial intelligence & image processing Geometry and Topology Algebraically closed field Software Mathematics |
| Zdroj: | Soft Computing. 25:8533-8538 |
| ISSN: | 1433-7479 1432-7643 |
| DOI: | 10.1007/s00500-021-05777-3 |
| Popis: | We introduce the notion of $$q^\prime $$ -compactness for Sheffer stroke basic algebras and Visser algebras. Our goal is to determine when induced lattice of a Sheffer stroke basic algebra and a Visser algebra is a strongly algebraically closed algebra, and we find the condition that the lattices of complete congruences relations on a Sheffer stroke basic algebra are weakly relatively pseudocomplemented. In particular, an open question proposed by A. Di-Nola, G. Georgescu and A. Iorgulescu about the connections of dually Brouwerian pseudo-BL-algebras with other algebraic structures in Di Nola et al. (Mult Val Logic 8:717–750, 2002) is answered. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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