• 제목/요약/키워드: pseudonorm

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SOME TOPOLOGICAL ASPECTS OF GENERALIZED GROUPS AND PSEUDONORMS ON THEM

  • Zand, Mohammad Reza Ahmadi;Rostami, Salimeh
    • 호남수학학술지
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    • 제40권4호
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    • pp.661-669
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    • 2018
  • In this paper, we introduce and study the notion of a pseudonorm on a generalized group. Let G be a topological generalized group and let the family $\{G_x\}_{x{\in}e(G)}$ be locally finite. Then, we show that G is completely regular. Also, some well known results are generalized.