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

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## 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 |
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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 |

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