• Title/Summary/Keyword: pseudonorm

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SOME TOPOLOGICAL ASPECTS OF GENERALIZED GROUPS AND PSEUDONORMS ON THEM

  • Zand, Mohammad Reza Ahmadi;Rostami, Salimeh
    • Honam Mathematical Journal
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    • v.40 no.4
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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.

  • https://doi.org/10.5831/HMJ.2018.40.4.661 인용 PDF KSCI