Abstract Using crossed homomorphisms, we show that the category of weak representations (respectively admissible representations) Lie–Rinehart algebras Leibniz pairs) is a left module over monoidal Lie algebras. In particular, corresponding bifunctor categories established to give new pairs). This generalises and unifies various existing constructions many by using this bifunctor. We construct ...

This preprint contains proofs of the results anounced in [PS] in the part concerning the construction of push-forwards for an oriented cohomology theory. It is constructed one-to-one correspondences between orientations, Chern structures, Thom structures and integrations on a given ring cohomology theory. The theory is illustrated by motivic cohomology, algebraic K-theory, algebraic cobordism t...

let $mathcal{r}$ be a  commutative ring with identity, let $a$ and $b$ be two $mathcal{r}$-algebras and $varphi:blongrightarrow a$ be an $mathcal{r}$-additive algebra homomorphism. we introduce a new algebra $atimes_varphi b$, and give some basic properties of this algebra. generalized $2$-cocycle derivations on $atimes_varphi b$ are studied. accordingly, $atimes_varphi b$ is considered from th...

This preprint contains proofs of the results anounced in PS] in the part concerning the construction of push-forwards for an oriented cohomology theory. One-to-one correspondences are constructed between orientations, Chern structures, Thom structures and integrations on a given ring cohomology theory. The theory is illustrated by motivic cohomology, algebraic K-theory, algebraic cobordism theo...

In this paper we introduce the notion of bifuzzy ideals of K-algebras and investigate some interesting properties. Then we study the homomorphisms between the ideals of K-algebras and their relationship between the domains and the co-domains of the bifuzzy ideals under these homomorphisms. Finally the Cartesian product of bifuzzy ideals is discussed. Key–Words: Bifuzzy ideals; Characteristic; E...

Gutjahr, Welzl and Woeginger found polynomial-time algorithms for a number of digraph homomorphism problems. These algorithms are based on the X-enumeration, the Ck-extended X-enumeration and the X-graft construction. In this note we show how the last two methods can be combined to obtain new polynomial-time algorithms, which also work for list homomorphisms. In the process we are able to exten...