BILINEAR MAPS ON ARTINIAN MODULES

DOI10.1142/S0219498812500909zbMath1260.13027arXiv1108.2520MaRDI QIDQ4649488

George M. Bergman

Publication date: 22 November 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2520

zbMATH Keywords

bimoduleArtinian moduleNoetherian moduleNondegenerate bilinear map

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Bimodules in associative algebras (16D20) Quadratic and bilinear forms, inner products (15A63) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Concise tensors of minimal border rank

Cites Work

• Homomorphisms on infinite direct product algebras, especially Lie algebras
• Some results on rings with chain conditions
• Attached primes over noncommutative rings.
• Endomorphism rings and tensor products of linearly compact modules
• On finiteness conditions for subalgebras with zero multiplication
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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