Model theoretic aspects of the ellis semigroup

Model theoretic aspects of the Ellis semigroup

Let G be a group definable in a theory T . For every model M of T , the space SG(M) of the complete G-types over M is a G M -flow. We compare the Ellis semigroups related to the flows SG(M) and SG(N) when M ≺ ∗ N , focusing particularly on the groups into which the minimal left ideals in these semigroups split. In the case where T is an o-minimal expansion of the theory of reals and G is defina...

Topos Theoretic Aspects of Semigroup Actions

We define the notion of a torsor for an inverse semigroup, which is based on semigroup actions, and prove that this is precisely the structure classified by the topos associated with an inverse semigroup. Unlike in the group case, not all set-theoretic torsors are isomorphic: we shall give a complete description of the category of torsors. We explain how a semigroup prehomomorphism gives rise t...

the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach

abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...

new semigroup compactifications via the enveloping semigroups of associated flows

this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.

Computability-Theoretic and Proof-Theoretic Aspects of Vaughtian Model Theory