In this paper we define $varphi$-Connes module amenability of a dual Banach algebra $mathcal{A}$ where $varphi$ is a bounded $w_{k^*}$-module homomorphism from $mathcal{A}$ to $mathcal{A}$. We are mainly concerned with the study of $varphi$-module normal virtual diagonals. We show that if $S$ is a weakly cancellative inverse semigroup with subsemigroup $E$ of idemp...

let $r$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎a right $r$-module $m$ is called $(n‎, ‎d)$-projective if $ext^{d+1}_r(m‎, ‎a)=0$ for every $n$-copresented right $r$-module $a$‎. ‎$r$ is called right $n$-cocoherent if every $n$-copresented right $r$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $r$-module is $(n‎, ‎d)$-projective‎. ‎$r$ ...

We give a simple proof of an isomorphism between two C[t]-modules corresponding to bivariate polynomial H with nondegenerate highest homogeneous part: the module of relative cohomologies Λ 2 /dH ∧ Λ 1 and the module of Abelian integrals. Using this isomorphism, we prove existence and deduce some properties of the corresponding Picard-Fuchs system.

An unpublished result by the first author states that there exists a Hopf algebra H such that for any Möbius category C (in the sense of Leroux) there exists a canonical algebra morphism from the dual H∗ of H to the incidence algebra of C. Moreover, the Möbius inversion principle in incidence algebras follows from a ‘master’ inversion result in H∗. The underlying module of H was originally defi...

CONTROLLED GENETIC PROGRAMMING SEARCH FOR SOLVING DECEPTIVE PROBLEMS Korkmaz, Emin Erkan Ph.D., Department of Computer Engineering Supervisor: Asso . Prof. Dr. G okt urk  U oluk Mar h 2003, 77 pages Traditional Geneti Programming randomly ombines subtrees by applying rossover. There is a growing interest in methods that an ontrol su h re ombination operations. In this thesis, a new approa h ...

Abstract: Let be a commutative ring and be a unitary module. We define a semiprime submodule of a module and consider various properties of it. Also we define semi-radical of a submodule of a module and give a number of its properties. We define modules which satisfy the semi-radical formula and present the existence of such a module.  

If H is a Hopf algebra with bijective antipode and α, β ∈ AutHopf (H), we introduce a category HYD (α, β), generalizing both Yetter-Drinfeld modules and anti-Yetter-Drinfeld modules. We construct a braided T-category YD(H) having all the categories HYD (α, β) as components, which ifH is finite dimensional coincides with the representations of a certain quasitriangular T-coalgebra DT (H) that we...

1.1. Background. This paper deals with the landmark results of Benson and Carlson's Projective resolutions and Poincar e duality complexes [6]. Our goal is to provide some necessary background for that work, and to prove some of the results of [6] in a more general setting. In particular, we analyze what happens when we replace Benson and Carlson's complex C (in the notation of [6]) with an arb...