Inverse semigroups as extensions of semilattices
نویسندگان
چکیده
منابع مشابه
Tight Representations of Semilattices and Inverse Semigroups
By a Boolean inverse semigroup we mean an inverse semigroup whose semilattice of idempotents is a Boolean algebra. We study representations of a given inverse semigroup S in a Boolean inverse semigroup which are tight in a certain well defined technical sense. These representations are supposed to preserve as much as possible any trace of Booleannes present in the semilattice of idempotents of ...
متن کاملBrandt extensions and primitive topologically periodic inverse topological semigroups
In this paper we find sufficient conditions on primitive inverse topological semigroup S under which: the inversion inv : (H(S)) (H(S)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed H-classes is topologically isomorphic to an orthogonal sum P i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compac...
متن کاملBrandt Extensions and Primitive Topological Inverse Semigroups
In the paper we study (countably) compact and (absolutely) H-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup. In this paper all spaces are Hausdorff. A semigr...
متن کاملFinite Presentability of HNN Extensions of Inverse Semigroups
HNN extensions of inverse semigroups, where the associated inverse subsemigroups are order ideals of the base, are defined by means of a construction based upon the isomorphism between the categories of inverse semigroups and inductive groupoids. The resulting HNN extension may conveniently be described by an inverse semigroup presentation, and we determine when an HNN extension with finitely g...
متن کاملEmbedding theorems for HNN extensions of inverse semigroups
We discuss embedding theorems for HNN extensions and clarify the relationship between the concept by Gilbert and that of Yamamura. We employ the automata theoretical technique based on the combinatorial and geometrical properties of Schützenberger graphs.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1975
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500002445