A note on dual automorphism invariant modules

作者：Selvaraj C^*; Santhakumar S

来源：Journal of Algebra and Its Applications, 2017, 16(2): 1750024.

DOI：10.1142/S0219498817500244

• Dual automorphism invariant module
• quasi projective cover
• perfect ring
• semi-perfect ring

In this paper, we investigate some properties of dual automorphism invariant modules over right perfect rings. Also, we introduce the notion of dual automorphism invariant cover and prove the existence of dual automorphism invariant cover. Moreover, we give the necessary and sufficient condition for every cyclic module to be a dual automorphism invariant module over a semi perfect ring and we prove that supplemented quasi projective module has finite exchange property. Also we give a characterization of a perfect ring using dual automorphism invariant module.

• 出版日期2017-2