Classical and strongly classical 2-absorbing second submodules

2016/10/02 by Ansari-Toroghy, H., Farshadifar, F.
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.00299

Abstract

In this paper, we will introduce the concept of classical (resp. strongly classical) 2-absorbing second submodules of modules over a commutative ring as a generalization of 2-absorbing (resp. strongly 2-absorbing) second submodules and investigate some basic properties of these classes of modules.

Related

• 2-absorbing and strongly 2-absorbing secondary submodules of modules
• S-2-absorbing submodules and S-2-absorbing second submodules
• Classical 2-absorbing submodules of modules over commutative rings
• Strongly ψ-2-absorbing second submodules
• Some generalizations of second submodules