Title. Minimal SH-approximation of semigroups
Speaker. V. V. Dang
Institution. Department of Applied Sciences, Vietnam National University-HCMC, Hochiminhcity University of Technology, Saigon, Vietnam
Abstract. The problem of SH-approximation of a semigroup with respect to the predicate of a possible belonging of an element to a subsemigroup is considered. Several explicit conditions for SH-approximation with respect to this predicate are presented. We constructed a special semigroup acting the role of a minimal SH-approximation of semigroup for many predicates. This semigroup has neither identity nor additive identity. It contains an infinite number of idempotents, and the presence of each idempotent is mandatory.