Module cancellation properties

作者：Anderson D D; Juett J R^*; Mooney C P

来源：Journal of Algebra and Its Applications, 2018, 17(8): 1850156.

DOI：10.1142/S0219498818501566

• Cancellation module
• half cancellation module
• join principal module
• Nakayama's Lemma
• ideal cancellation laws

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.

• 出版日期2018-8