In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for Ore extensions of
injective type, and more generally, skew PBW extensions. With this aim, we introduce the …

An ideal $ I $ of a ring $ R $ is called left N-reflexive if for any $ a\in $ nil $(R) $, $ b\in R $,
being $ aRb\subseteq I $ implies $ bRa\subseteq I $ where nil $(R) $ is the set of all …

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 ∈ R a, b∈ R, aRb= 0 a R b= 0 implies bRa …

In this paper, we deal with the question that what kind of properties does a ring gain when it
satisfies symmetricity or reversibility by the way of nilpotent elements? By the motivation of …

Tez temel kavramlar ve iki ana başlıktan oluşmaktadır. Bunlardan ilki'Yansımalı Halkalar ve
Uzantıları've ikincisi'Eş Kare Elemanlar Üzerinde Yansıma Özelliği'şeklinde …

Mason introduced the notion of reflexive property for rings which play roles in
noncommutative ring theory. In this paper, we extend this property to rings with involution …