Topological S-act congruence
نویسندگان
چکیده
In this paper, we establish the necessary and sufficient condition for an equivalence relation ρ on S-act A endowed with a topology such that A/ρ becomes Hausdorff topological S-act. Also, show if A1 A2 be two S-acts, then any homomorphism ϕ : → A2, A1/ ker is only ϕ-saturated continuous. Moreover, congruences θ1 θ2 topology, ∩ congruence mapping A/θ1 × A/θ2, defined by ϕ(a) = (aθ1, aθ2), all ∈ A, continuous, where S semigroup.
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ژورنال
عنوان ژورنال: Quasigroups and Related Systems
سال: 2023
ISSN: ['1561-2848']
DOI: https://doi.org/10.56415/qrs.v30.23