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http://dx.doi.org/10.5831/HMJ.2018.40.4.661

SOME TOPOLOGICAL ASPECTS OF GENERALIZED GROUPS AND PSEUDONORMS ON THEM

Zand, Mohammad Reza Ahmadi (Department of Mathematics, Yazd University)
Rostami, Salimeh (Department of Mathematics, Yazd University)

Publication Information

Honam Mathematical Journal / v.40, no.4, 2018 , pp. 661-669 More about this Journal

Abstract

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.

Keywords

pseudonorm; generalized group; closed generalized subgroup; paratopological generalized group;

Citations & Related Records

Reference

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