대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권1호
  • /
  • Pages.137-148
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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INDUCTIVE LIMIT IN THE CATEGORY OF C* -TERNARY RINGS

  • 투고 : 2021.12.30
  • 심사 : 2022.05.25
  • 발행 : 2023.01.31
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초록

We show the existence of inductive limit in the category of C*-ternary rings. It is proved that the inductive limit of C*-ternary rings commutes with the functor 𝓐 in the sense that if (Mn, ϕn) is an inductive system of C*-ternary rings, then $\lim_{\rightarrow}$ 𝓐(Mn) = 𝓐$(\lim_{\rightarrow}\;M_{n})$. Some local properties (such as nuclearity, exactness and simplicity) of inductive limit of C*-ternary rings have been investigated. Finally we obtain $\lim_{\rightarrow}\;M_{n}^{**}$ = $(\lim_{\rightarrow}\;M_{n})^{**}$.

키워드

과제정보

The research of the first author is supported by the National Board of Higher Mathematics(NBHM), Government of India. The second author acknowledges support from National Academy of Sciences, India. The authors are indebted to the referee for a careful reading of the manuscript and for valuable comments and suggestions.

참고문헌

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