Elements of noncommutative arithmetic. I
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Publication:1220121
DOI10.1016/0021-8693(75)90053-8zbMath0313.16002OpenAlexW2041179315MaRDI QIDQ1220121
Publication date: 1975
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(75)90053-8
Finite rings and finite-dimensional associative algebras (16P10) Localization and associative Noetherian rings (16P50) Representation theory of associative rings and algebras (16Gxx)
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On strongly prime rings and ideals ⋮ Rings with finite reduced rank ⋮ Modules semicocritical with respect to a torsion theory and their applications ⋮ Dimension and decomposition in modular upper-continuous lattices ⋮ On kulikov’s theorem ⋮ LLI rings and modules of type LP ⋮ A generalization of composition series ⋮ When does length equal dimension? ⋮ On Composition series relative to a module ⋮ Rings having thb ascbnding chain condition 1 with respect to a torsion radical ⋮ Addendum to “prine kernel functors in the skew group rings of finite groups” ⋮ On the maximal support of a module ⋮ Two dimensions defined on the spectrum of a noncommutative ring ⋮ Modules TTK-critiques et notions connexes ⋮ Semiprime rings with finite length w.r.t. an idempotent kernel functor ⋮ Injective modules with both ascending and descending chain conditions on annihilators ⋮ Rings having a composition series with respect to a torsion theory ⋮ On extensions of nilpotent torsion rings by semisimple rings ⋮ Prime kernel functors in the skew group rings of finite groups ⋮ Neat submodules by relative height ⋮ Duality for quotient modules and a characterization of reflexive modules ⋮ On the endomorphism ring of a module Noetherian with respect to a torsion theory ⋮ Finite σ-length and σ-artinian rings ⋮ Composition series relative to a module ⋮ Krull dimension and torsion radicals
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