نتایج جستجو برای: uniserial module
تعداد نتایج: 66370 فیلتر نتایج به سال:
We describe of all finite dimensional uniserial representations of a commutative associative (resp. abelian Lie) algebra over a perfect (resp. sufficiently large perfect) field. In the Lie case the size of the field depends on the answer to following question, considered and solved in this paper. Let K/F be a finite separable field extension and let x, y ∈ K. When is F [x, y] = F [αx+ βy] for s...
Let K be the Lie superalgebra of contact vector fields on the supersymmetric line R. We compute the action of K on the modules of differential and pseudodifferential operators between spaces of tensor densities, in terms of their conformal symbols. As applications we deduce the geometric subsymbols, 1-cohomology, and various uniserial subquotients of these modules. We also outline the computati...
let $r$ be a right artinian ring or a perfect commutativering. let $m$ be a noncosingular self-generator $sum$-liftingmodule. then $m$ has a direct decomposition $m=oplus_{iin i} m_i$,where each $m_i$ is noetherian quasi-projective and eachendomorphism ring $end(m_i)$ is local.
It is shown that each almost maximal valuation ring R, such that every indecomposable injective R-module is countably generated, satisfies the following condition (C): each fp-injective R-module is locally injective. The converse holds if R is a domain. Moreover, it is proved that a valuation ring R that satisfies this condition (C) is almost maximal. The converse holds if Spec(R) is countable....
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