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S-NOETHERIAN IN BI-AMALGAMATIONS

김환구|Najib Mahdou|Youssef Zahir
대한수학회 (The Korean Mathematical Society)|2021.07|대한수학회보 (Bulletin of the KMS)|제58권 제4호|pp. 1021-1029|DOI 10.4134/BKMS.b200784

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참고문헌

키워드

amalgamated duplication of a ring along an idealS-Noetherianbi-amalgamation
주제분류수학

초록

This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit the $S$-Noetherian property. The new results compare to previous works carried on various settings of duplications and amalgamations, and capitalize on recent results on bi-amalgamations. Our results allow us to construct new and original examples of rings satisfying the $S$-Noetherian property.

Abstract

This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit the $S$-Noetherian property. The new results compare to previous works carried on various settings of duplications and amalgamations, and capitalize on recent results on bi-amalgamations. Our results allow us to construct new and original examples of rings satisfying the $S$-Noetherian property.

참고문헌 (24)

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관련 논문AI추천

On S-coherent property in amalgamated algebra along an idealMohamed Chhiti, Salah Eddine Mahdou대한수학회 · 대한수학회논문집2025 · 제40권 제4호ON S-ENDO-NOETHERIAN RINGSMohammed Issoual, Salah Eddine Mahdou장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호S-coherent property in trivial extension and in amalgamated duplicationMohamed Chhiti, Salah Eddine Mahdou대한수학회 · 대한수학회논문집2023 · 제38권 제3호ON S-ARMENDARIZ RINGSMohamed Chhiti, Salah Eddine Mahdou장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호B\'ezout rings and weakly B\'ezout ringsHaitham El Alaoui대한수학회 · 대한수학회보2022 · 제59권 제4호AMALGAMATED MODULES ALONG AN IDEALNajib Mahdou, Nematollah Shirmohammadi, Parviz Sahandi, Rachida El Khalfaoui대한수학회 · 대한수학회논문집2021 · 제36권 제1호

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