Presentations of modules when ideals need not be principal

zbMath0641.16028MaRDI QIDQ1100540

Lawrence S. Levy, Robert M. Guralnick

Publication date: 1988

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

zbMATH Keywords

Mayer-Vietoris sequencefinitely generated algebrasemiprimeuniform rankfinitely generated projective \(\Lambda \) - modulenoncommutative PID module finite over its centerpresentations of modulesprime maximal R-orderstable equivalence classes of presentations

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (4)

Direct-sum cancellation of submodule systems ⋮ Cancellation and direct summands in dimension 1 ⋮ Presentations over HNP rings with enough invertible ideals and torsionfree cancellation over neoclassical orders ⋮ Elementary Divisor Theorem for Noncommutative Pids

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