Auslander Modules

Abstract

In this paper, we introduce the notion of Auslander modules, inspired from Auslander's zero-divisor conjecture (theorem) and give some interesting results for these modules. We also investigate torsion-free modules.

Major updates, First Online: 24 January 2018, Published at Beitr. Algebra Geom., Dedicated to my father, Maestro Nasrollah Nasehpour

Cited by in corpus (3)

• On zero-divisors of semimodules and semialgebras
• Eversible and reversible semigroups and semirings
• Distinguished elements in semiring extensions