A Novel Example of Non-Rigid Compatible with Ascending Chain Condition on Annihilators
Publish place: International Conference on Science and Engineering
Publish Year: 1394
Type: Conference paper
Language: English
View: 689
This Paper With 6 Page And PDF Format Ready To Download
- Certificate
- I'm the author of the paper
Export:
Document National Code:
ICESCON01_0004
Index date: 14 February 2016
A Novel Example of Non-Rigid Compatible with Ascending Chain Condition on Annihilators abstract
Let R be an associative ring with unity. (Nasr-Isfahani,4102) proved that if R be an ACCPR-ring, : RR a rigid automorphism of R and an -derivation of R and R satisfies the ACC on right annihilators, then R[x;, ] is an ACCPR-ring. The main result in this note is an example on the ring of a compatible ring like S such that satisfies the ACC on right annihilators but is not ACCPR-ring. Also, we show that polynomial ring S[x] is not ACCPR-ring.
A Novel Example of Non-Rigid Compatible with Ascending Chain Condition on Annihilators Keywords:
A Novel Example of Non-Rigid Compatible with Ascending Chain Condition on Annihilators authors
Farzad Padashnik
Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran
Ahmad Moussavi
Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :