Reflexive-nilpotents-property skewed by ring endomorphisms
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The reflexive property for rings was introduced by Mason and play roles in noncommutative ring theory. A ring R is called reflexive if for \(a, b \in R\), \(aRb = 0\) implies \(bRa = 0\). Recently, Kheradmand et al. introduced the notion of RNP (reflexive-nilpotents-property) rings by restricting the reflexive property to nilpotent elements. In this article, we study reflexive-nilpotents-property skewed by a ring endomorphism \(\alpha \) and introduce the notion of \(\alpha \)-skew RNP rings. We investigate various properties and extensions of these rings and also determine the structure of minimal noncommutative \(\alpha \)-skew RNP rings.
Mathematics Subject Classification16U99 16W20 16N40
- 4.Bhattacharjee, A.; Chakraborty, U.S.: On properties related to reflexive rings (preprint) Google Scholar
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