Abstract We compare two associative algebras which encode the “quantum topology” of Legendrian curves in contact threefolds product type $$S\times {\mathbb {R}}$$ S × R . The first is skein algebra graded links and second Hall Fukaya category S construc...

In this paper, some categorical properties of the category ${bf Cpo}_{{bf Act}text{-}S}$ of all {cpo $S$-acts}, cpo's equipped with actions of a monoid $S$ on them, and strict continuous action-preserving maps between them is considered. In particular, we describe products and coproducts in this category, and consider monomorphisms and epimorphisms. Also, we show that the forgetful functor from...

In this article we study injective representations of infinite quivers. We classify the indecomposable injective representations of trees and then describe Gorenstein injective and projective representations of barren trees.

We give some new properties of almost injective modules and their endomorphism rings, and also provide conditions as to when a direct sum of almost injective (or CS) modules is again almost injective (or CS) in some special cases..

Recall that a pseudofree group action on a space is one whose singular set consists only of isolated points. In this paper, we classify all of the finite groups which admit pseudofree actions on S × S. The groups are exactly those which admit orthogonal pseudofree actions on S×S ⊂ R×R, and they are explicitly listed. This paper can be viewed as a companion to a paper of Edmonds [6], which unifo...

Let U be the set of prime ideals P completion a Stanley–Reisner ring S, such that localization at Frobenius algebra injective hull residue field S is finitely generated algebra. We give partial answer to conjecture made by M. Katzman about openness U. Specifically, we show has non-empty interior and present some sufficient conditions for principal open D(f) contained in U, intersections closed ...

after forty years, the act of motor vehicle compulsory insurance was amended in 1387(2008).the act has changed some areas and protected third parties rather than former act. some protections are: increasing third parties, development of sphere of insurance and acceptance of an insurance policy as a mortgage in courts. however we see some ambiguities in the late act. the article analyses changes...

The notion of simple-direct-injective modules which are a generalization injective unifies $C2$ and $C3$-modules. In the present paper, we introduce semisimple-direct-injective module gives unified viewpoint $C2$, $C3$, SSP properties modules. It is proved that ring $R$ Artinian serial with Jacobson radical square zero if only every right $R$-module has and, for any family simple $R$-modules $\...