The study of ϕ-powerful ideals

یوسفیان دارانی, احمد (2018) The study of ϕ-powerful ideals. University of Mohaghegh Ardabili, University of Mohaghegh Ardabili.

[img] Text
The study of Phi-powerful ideals.pdf

Download (425kB)
Official URL: http://uma.ac.ir/

Abstract

H = fR j R is a commutative ring with 1 ̸= 0 and Nil(R) is a divided prime ideal of Rg. Let R 2 Hand T(R) be the total quotient ring of R, and set ϕ : T(R) ! RNil(R) such that ϕ(a=b) = a=b for every a 2 R and b 2 RnZ(R). Then ϕ is a ring homomorphism from T(R) into RNil(R) and ϕ restricted to R is also a ring homomorphism from R into RNil(R) given by ϕ(x) = x=1 for every x 2 R. In this research we introduce the concept of ϕ-powerful ideal, which is an ideal of R 2 H such that ϕ(I) is a powerful ideal of ϕ(R). In this paper we study some basic properties of ϕ-powerful ideals.

Item Type: Other
Persian Title: The study of ϕ-powerful ideals
Persian Abstract: -
Subjects: Research Projects
Divisions: Subjects > Faculty of Basic Sciences > Department of Mathematics
Faculty of Basic Sciences > Department of Mathematics
Date Deposited: 23 Jun 2019 08:51
Last Modified: 23 Jun 2019 08:51
URI: http://repository.uma.ac.ir/id/eprint/8260

Actions (login required)

View Item View Item