منابع مشابه
Torsion-free Endotrivial Modules
Let G be a finite group and let T (G) be the abelian group of equivalence classes of endotrivial kG-modules, where k is an algebraically closed field of characteristic p. We investigate the torsion-free part TF (G) of the group T (G) and look for generators of TF (G). We describe three methods for obtaining generators. Each of them only gives partial answers to the question but we obtain more p...
متن کاملOn the Prime Spectrum of Torsion Modules
The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules.
متن کاملGluing torsion endo-permutation modules
Let k be a field of characteristic p, and P be a finite p-group, where p is an odd prime. In this paper, we consider the problem of gluing compatible families of endo-permutation modules : being given a torsion element MQ in the Dade group D(NP (Q)/Q), for each non-trivial subgroup Q of P , subject to obvious compatibility conditions, we show that it is always possible to find an element M in t...
متن کاملOn Torsion Free Distributive Modules
Let R be a commutative ring with identity and let M be a torsion free R-module. Several characterizations of distributive modules are investigated. Indeed, among other equivalent conditions, we prove that M is distributive if and only if any primal submodule of M is irreducible, and, if and only if each submodule of M can be represented as an intersection of irreducible isolated components. MSC...
متن کاملTorsion Points in Families of Drinfeld Modules
Let Φ be an algebraic family of Drinfeld modules defined over a field K of characteristic p, and let a,b ∈ K[λ]. Assume that neither a(λ) nor b(λ) is a torsion point for Φ for all λ. If there exist infinitely many λ ∈ K such that both a(λ) and b(λ) are torsion points for Φ, then we show that for each λ ∈ K, we have that a(λ) is torsion for Φ if and only if b(λ) is torsion for Φ. In the case a,b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1959
ISSN: 0002-9939
DOI: 10.2307/2033455