한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제30권1호
  • /
  • Pages.15-24
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  • 2023
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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(CO)HOMOLOGY OF A GENERALIZED MATRIX BANACH ALGEBRA

  • M. Akbari (Faculty of Mathematics, Statistics and Computer Science, Semnan University) ;
  • F. Habibian (Faculty of Mathematics, Statistics and Computer Science, Semnan University)
  • 투고 : 2022.07.20
  • 심사 : 2022.12.12
  • 발행 : 2023.02.28
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초록

In this paper, we show that bounded Hochschild homology and cohomology of associated matrix Banach algebra 𝔊(𝔄, R, S, 𝔅) to a Morita context 𝔐(𝔄, R, S, 𝔅, { }, [ ]) are isomorphic to those of the Banach algebra 𝔄. Consequently, we indicate that the n-amenability and simplicial triviality of 𝔊(𝔄, R, S, 𝔅) are equivalent to the n-amenability and simplicial triviality of 𝔄.

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참고문헌

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