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- Title
A note on k-cyclic modal pseudocomplemented De Morgan algebras.
- Authors
Figallo-Orellano, Aldo; Slagter, Juan Sebastián
- Abstract
Symmetric and k-cyclic structure of modal pseudocomplemented De Morgan algebras was introduced previously. In this paper, we first present the construction of epimorphisms between finite symmetric (or 2-cyclic) modal pseudocomplemented De Morgan algebras. Furthermore, we compute the cardinality of the set of all epimorphism between finite structures. Secondly, we present the construction of finite free algebras on the variety of k-cyclic modal pseudocomplemented De Morgan algebras and display how our computations are in fact generalizations to others in the literature. Our work is strongly based on the properties of epimorphisms and automorphisms and the fact that the variety is finitely generated.
- Subjects
ALGEBRA; VARIETIES (Universal algebra); ALGEBRAIC varieties
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2023, Vol 27, Issue 11, p6961
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-023-07911-9