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Module cancellation properties
Journal article   Peer reviewed

Module cancellation properties

D.D. Anderson, J.R. Juett and C.P. Mooney
Journal of Algebra and its Applications, Vol.17(8), 1850156
2018
DOI: 10.1142/S0219498818501566

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Abstract

We perform an in-depth study of several different cancellation properties for modules. Among those we consider are (half) (weak) cancellation modules, restricted cancellation modules, and (half) join principal modules. We also investigate which commutative rings have every nonzero (finitely generated) ideal (respectively, module) satisfying some cancellation property. © 2018 World Scientific Publishing Company.
Cancellation module half cancellation module ideal cancellation laws join principal module Nakayama's Lemma

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