منابع مشابه
Arens regularity of bilinear maps and Banach modules actions
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 $A$ .
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The paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups. 2000 Mathematics Subject Classification. 20E36, 20F28. Let F be ...
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We show that every semi-artinian module which is contained in a direct sum of finitely presented modules in $si[M]$, is weakly co-semisimple if and only if it is regular in $si[M]$. As a consequence, we observe that every semi-artinian ring is regular in the sense of von Neumann if and only if its simple modules are $FP$-injective.
متن کاملarens regularity of bilinear maps and banach modules actions
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 $a$ .
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Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2012
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498812500909