نتایج جستجو برای: Module action
تعداد نتایج: 672227 فیلتر نتایج به سال:
in this paper, we present algebroids and crossed modules of algebroids. we also define pullbackcrossed module of algebroids.
in this paper, we presented algebroids and crossed modules of algebroids. we also presented pullback crossed module of algebroids and we then define pushout crossed modules of algebroids.
Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule with the left and right module actions $pi_ell: Atimes Xrightarrow X$ and $pi_r: Xtimes Arightarrow X$, respectively. In this paper, we study the topological centers of the left module action $pi_{ell_n}: Atimes X^{(n)}rightarrow X^{(n)}$ and the right module action $pi_{r_n}:X^{(n)}times Arightarrow X^{(n)}$, which inherit from th...
assume that $a$, $b$ are banach algebras and that $m:atimes brightarrow b$, $m^prime:atimes arightarrow b$ are bounded bilinear mappings. we study the relationships between arens regularity of $m$, $m^prime$ and the banach algebras $a$, $b$. for a banach $a$-bimodule $b$, we show that $b$ factors with respect to $a$ if and only if $b^{**}$ is unital as an $a^{**}$-module. le...
For a Hopf algebra H over a commutative ring k and a left H-module V, the tensor endofunctors V k - and - kV are left adjoint to some kinds of Hom-endofunctors of _HM. The units and counits of these adjunctions are formally trivial as in the classical case.The category of (bi-) modules over a quasi-Hopf algebra is monoidal and some generalized versions of Hom-tensor relations have been st...
let $x$, $y$ and $z$ be banach spaces and $f:xtimes y longrightarrow z$ a bounded bilinear map. in this paper we study the relation between arens regularity of $f$ and the reflexivity of $y$. we also give some conditions under which the arens regularity of a banach algebra $a$ implies the arens regularity of certain banach right module action of $a$ .
In the definition of a crossed module $(T,G,rho)$, the actions of the group $T$ and $G$ on themselves are given by conjugation. In this paper, we consider these actions to be arbitrary and thus generalize the concept of ordinary crossed module. Therefore, we get the category ${bf GCM}$, of all generalized crossed modules and generalized crossed module morphisms between them, and investigate som...
in this paper, we extend some propositions of banachalgebras into module actions and establish the relationships betweentopological centers of module actions. we introduce some newconcepts as -property and -property for banach modules and obtain some conclusions inthe topological center of module actions and arens regularity of banachalgebras.
throughout this dissertation r is a commutative ring with identity and m is a unitary r-module. in this dissertation we investigate submodules of multiplication , prufer and dedekind modules. we also stat the equivalent conditions for which is ring , wher l is a submodule of afaithful multiplication prufer module. we introduce the concept of integrally closed modules and show that faithful mu...
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