On perfect ideals of seminearrings

Kavitha Koppula; Babushri Srinivas Kedukodi; Syam Prasad Kuncham

doi:10.1007/s13366-020-00535-2

On perfect ideals of seminearrings

Kavitha Koppula
, Babushri Srinivas Kedukodi^*
, Syam Prasad Kuncham

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we present the notion of perfect ideal of a seminearring S and prove that the kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient structure S/I is isomorphic to the structure S_T₍_I₎. Finally, we prove isomorphism theorems in seminearrings by using tame condition.

Original language	English
Pages (from-to)	823-842
Number of pages	20
Journal	Beitrage zur Algebra und Geometrie
Volume	62
Issue number	4
DOIs	https://doi.org/10.1007/s13366-020-00535-2
Publication status	Published - 12-2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.1007/s13366-020-00535-2

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title = "On perfect ideals of seminearrings",

abstract = "In this paper, we present the notion of perfect ideal of a seminearring S and prove that the kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient structure S/I is isomorphic to the structure ST(I). Finally, we prove isomorphism theorems in seminearrings by using tame condition.",

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AU - Koppula, Kavitha

AU - Kedukodi, Babushri Srinivas

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N2 - In this paper, we present the notion of perfect ideal of a seminearring S and prove that the kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient structure S/I is isomorphic to the structure ST(I). Finally, we prove isomorphism theorems in seminearrings by using tame condition.

AB - In this paper, we present the notion of perfect ideal of a seminearring S and prove that the kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient structure S/I is isomorphic to the structure ST(I). Finally, we prove isomorphism theorems in seminearrings by using tame condition.

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UR - https://www.scopus.com/pages/publications/85091871355#tab=citedBy

U2 - 10.1007/s13366-020-00535-2

DO - 10.1007/s13366-020-00535-2

M3 - Article

AN - SCOPUS:85091871355

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JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

IS - 4

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On perfect ideals of seminearrings

Abstract

All Science Journal Classification (ASJC) codes

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