Fully SP -acts
Abstract
Purity is one of the important concepts in Algebra, which was studied by many others in Acts, modules, and groups. An K-K-subact B of K-act is SP-sub-act, if every a ∈ A and a ∉ B, there is a pure K-subact P of A that contains B and a ∉ P. Now we describe that an SPsub- act L in K-act A, if and only if, Lj are pure K-subacts of A, for each j ∈ J, and L = ∩j∈J Lj. SP-subact as a generalization of purity. We discuss many Algebraic properties. We found the relationship between SP-sub-act idempotent subact, and multiplication.
Fields of Study & Subjects
Rings
Modules
and Algebras
semigroups and automata theory
Advanced Topics in Algebra
Publication details
- Journal / source
- Journal of Discrete Mathematical Sciences and Cryptography
- Volume
- 29
- Issue
- 1
- Pages
- 155–160
- Publication date
- 1 January 2026