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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,483 - 1,494 (12page)
- DOI
- 10.4134/BKMS.b201049
이용수
초록· 키워드
오류제보하기
Let $A$ and $B$ be rings and $U$ be a $(B,A)$-bimodule. If $_BU$ has finite flat dimension, $U_A$ has finite flat dimension and $\tpa{U}{C}$ is a cotorsion left $B$-module for any cotorsion left $A$-module $C$, then the Gorenstein flat-cotorsion modules over the formal triangular matrix ring $T=\left(\begin{smallmatrix} A & 0 \\ U & B \\ \end{smallmatrix}\right)$ are explicitly described. As an application, it is proven that each Gorenstein flat-cotorsion left $T$-module is flat-cotorsion if and only if every Gorenstein flat-cotorsion left $A$-module and $B$-module is flat-cotorsion. In addition, Gorenstein flat-cotorsion dimensions over the formal triangular matrix ring $T$ are studied.
목차
등록된 정보가 없습니다.
참고문헌 (15)
참고문헌 신청
Luchezar L. Avramov / 1991 / Homological dimensions of unbounded complexes / Journal of Pure and Applied Algebra 71(2-3):129~155
Lars Winther Christensen / 2021 / A refinement of Gorenstein flat dimension via the flat–cotorsion theory / Journal of Algebra 567:346~370
L. W. Christensen / 2020 / Categorical, homological and combinatorial methods in algebra / Amer. Math. Soc :99~118
Edgar E. Enochs / 2014 / Gorenstein conditions over triangular matrix rings / Journal of Pure and Applied Algebra 218(8):1544~1554
E. E. Enochs / 2000 / Relative homological algebra / Walter de Gruyter & Co
Lars Winther Christensen / 2021 / A refinement of Gorenstein flat dimension via the flat–cotorsion theory / Journal of Algebra 567:346~370
L. W. Christensen / 2020 / Categorical, homological and combinatorial methods in algebra / Amer. Math. Soc :99~118
Edgar E. Enochs / 2014 / Gorenstein conditions over triangular matrix rings / Journal of Pure and Applied Algebra 218(8):1544~1554
E. E. Enochs / 2000 / Relative homological algebra / Walter de Gruyter & Co
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