Growth and uniqueness of rank

DOI10.1007/BF02787226zbMath0673.16014MaRDI QIDQ1120646

Shmuel Rosset, Eli Aljadeff

Publication date: 1988

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

direct sumgrowth exponentGoldie ringalgebras of sub-exponential growthfree S-modulesgrowth structureincreasing filtrationunique rank property

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Amenability of coarse spaces and \(\mathbb {K}\)-algebras, The amenability of affine algebras, Modules over affine algebras having subexponential growth

Cites Work

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• Global dimensions of crossed products
• A note on curvature and fundamental group