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Soft topological groups and rings. (English) Zbl 1304.54061

Summary: In this paper we introduce the concepts of a soft topological group and a soft topological ring over a group and a ring, respectively. Moreover, some notions like soft topological homomorphisms and closures of soft topological rings are given. We then finish with an introduction to the notion of soft topological divisors of zero.

MSC:

54H11 Topological groups (topological aspects)
54H13 Topological fields, rings, etc. (topological aspects)
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