Pairs of rings with the same ideal and Kronecker function rings

In this paper, we study the classical Kronecker function rings in a pair of rings R ⊆ T sharing the same ideal M, assumed to be maximal in T and contained in the Jacobson radical of R or that of T. We apply this to the D + M construction and the b-operations on D and R.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.56947/gjom.v18i2.2399
Primary Topic
Rings, Modules, and Algebras
Type
article
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article

Pairs of rings with the same ideal and Kronecker function rings

Rachid Chibloun, Elhousseine Eddamane
Gulf Journal of Mathematics
Rings, Modules, and Algebras
article

Pairs of rings with the same ideal and Kronecker function rings

Rachid Chibloun, Elhousseine Eddamane
article en

Abstract

In this paper, we study the classical Kronecker function rings in a pair of rings R ⊆ T sharing the same ideal M, assumed to be maximal in T and contained in the Jacobson radical of R or that of T. We apply this to the D + M construction and the b-operations on D and R.

Gulf Journal of MathematicsVol. 18(2)
Université Moulay Ismail de Meknes (MA)
Openalex Percentile: Top 60%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Pairs of rings with the same ideal and Kronecker function rings — Rachid Chibloun, Elhousseine Eddamane · Gulf Journal of Mathematics (2024) | TGRS Research Map | TGRS