On countable completions of quotient ordered semigroups |
| |
Authors: | Samy Abbes |
| |
Institution: | (1) Université Paris 7 Denis Diderot, PPS, Paris, France |
| |
Abstract: | A poset is said to be ω-chain complete if every countable chain in it has a least upper bound. It is known that every partially ordered set has a
natural ω-completion. In this paper we study the ω-completion of partially ordered semigroups, and the topological action of such a semigroup on its ω-completion. We show that, for partially ordered semigroups, ω-completion and quotient with respect to congruences are two operations that commute with each other. This contrasts with
the case of general partially ordered sets. |
| |
Keywords: | Ordering completion Quotient semigroup |
本文献已被 SpringerLink 等数据库收录! |
|