Associated prime ideals of weak σ-rigid rings and their extensions

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• ISSN: 1726-3255
• Main Author: Bhat, V.K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154506
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Associated prime ideals of weak σ-rigid rings and their extensions / V.K. Bhat // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 8–17. — Бібліогр.: 15 назв. — англ.

Let R be a right Noetherian ring which is also an algebra over Q (Q the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. Let further σ be such that aσ(a)∈N(R) implies that a∈N(R) for a∈R, where N(R) is the set of nilpotent elements of R. In this paper we...