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Let $\Gamma$ be a Gorenstein coalgebra over a filed $k$. We introduce the Gorenstein transpose via a minimal Gorenstein injective copresentation of a quasi-finite $\Gamma$-comodule, and obtain a relation between a Gorenstein transpose of a quasi-finite comodule and a transpose of the same comodule. As an application, we obtain that the almost split sequences are constructed in terms of Gorenstein transpose.
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참고문헌 (11)
참고문헌 신청
M. J. Asensio / 1999 / Gorenstein coalgebras / Acta Mathematica Hungarica 85(1/2):187~198
M. Auslander / 1969 / Stable module theory / American Mathematical Society
M. Auslander / 1997 / Representation theory of Artin algebras / Cambridge University Press
William Chin / 2002 / Almost Split Sequences for Comodules / Journal of Algebra 249(1):1~19
William Chin / 2010 / Coxeter transformation and inverses of Cartan matrices for coalgebras / Journal of Algebra 324(9):2223~2248
M. Auslander / 1969 / Stable module theory / American Mathematical Society
M. Auslander / 1997 / Representation theory of Artin algebras / Cambridge University Press
William Chin / 2002 / Almost Split Sequences for Comodules / Journal of Algebra 249(1):1~19
William Chin / 2010 / Coxeter transformation and inverses of Cartan matrices for coalgebras / Journal of Algebra 324(9):2223~2248
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