Regular elements of some semigroups of linear transformations and matrices

Regular Elements of Some Semigroups of Order-Preserving Partial Transformations

Let X be a chain, OP (X) the order-preserving partial transformation semigroup on X and OI(X) the order-preserving 1–1 partial transformation semigroup on X. It is known that both OP (X) and OI(X) are regular semigroups. We extend these results by characterizing the regular elements of the semigroups OP (X,Y ), OI(X,Y ), OP (X,Y ) and OI(X,Y ) where ∅ = Y ⊆ X,OP (X,Y ) = {α ∈ OP (X) | ranα ⊆ Y ...

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

synthesis and characterization of some macrocyclic schiff bases

ماکروسیکلهای شیف باز از اهمیت زیادی در شیمی آلی و دارویی برخوردار می باشند. این ماکروسیکلها با دارابودن گروه های مناسب در مکانهای مناسب می توانند فلزاتی مثل مس، نیکل و ... را در حفره های خود به دام انداخته، کمپلکسهای پایدار تولید نمایند. در این پایان نامه ابتدا یک دی آلدئید آروماتیک از گلیسیرین تهیه می شود و در مرحله بعدی واکنش با دی آمینهای آروماتیک و یا آلیفاتیک در رقتهای بسیار زیاد منجر به ت...

Matrices and Linear Transformations