호남수학학술지 (Honam Mathematical Journal)

  • 제43권2호
  • /
  • Pages.209-219
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  • 2021
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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A REMARK ON WEAK MODULE-AMENABILITY IN BANACH ALGEBRAS

  • 투고 : 2020.07.28
  • 심사 : 2021.03.22
  • 발행 : 2021.06.25
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초록

We define a new concept of module amenability which is compatible with original definition of amenability. For a module dual algebra 𝓐, we will show that if every module derivation D : 𝓐** → J𝓐**⊥ is inner then 𝓐 is weak module amenable. Moreover, we will prove that under certain conditions, weak module amenability of 𝓐** implies weak module amenability of 𝓐.

키워드

과제정보

The authors express their sincere thanks to the referee for valuable comments. This article is taken from the second author's dissertation.

참고문헌

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