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Positive implicative equality algebras and equality algebras with some types
- Issue Date
- May-2022
- Publisher
- University of Hatef
- Keywords
- &-equality algebra; (Commutative, positive implicative) equality algebra; equality algebra of type (m, n; i, j)
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.3, no.2, pp 69 - 86
- Pages
- 18
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 3
- Number
- 2
- Start Page
- 69
- End Page
- 86
- ISSN
- 2676-6019
- Abstract
- The notion of a positive implicative equality algebras are defined, and related properties are studied. Characterizations of a positive implicative equality algebra is investigated. Conditions for an equality algebra to be positive implicative are provided. Equality algebra with some types is considered, and several properties are investigated. Using equality algebra with some types, we characterize a commutative equality algebra and a positive implicative algebra. © 2022, University of Hatef. All rights reserved.
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