대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권4호
  • /
  • Pages.1329-1334
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  • 2019
  • /
  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON EXPANSIVE ℤk-ACTION AND GENERATORS

  • Shah, Ekta (Department of Mathematics Faculty of Science The Maharaja Sayajirao University of Baroda)
  • 투고 : 2018.08.28
  • 심사 : 2018.11.23
  • 발행 : 2019.10.31
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초록

We define the concept of a generator for a ${\mathbb{Z}}^k$-action T and show that T is expansive if and only it has a generator. Further, we prove several properties of a ${\mathbb{Z}}^k$-action including that the least upper bound of the set of expansive constants is not an expansive constant.

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참고문헌

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