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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, Number 1, Pages 3–14
(Mi basm79)
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This article is cited in 2 scientific papers (total in 2 papers)
Research articles
Properties of one-sided ideals of topological rings
V. I. Arnautov Institute of Mathematics and Computer Science,
Academy of Sciences of Moldova, Chisinau, Moldova
Abstract:
A continuous ring isomorphism $\nu\colon(R,\tau)\to(\widehat{R},\widehat{\tau})$ is said to be semitopological from the left (right) in the class $\mathfrak R$ provided $(R,\tau)$ is a left ideal (right ideal, ideal) of a topological ring $(\widetilde{R},\widetilde{\tau})\in\mathfrak R$ and $\nu=\widetilde{\nu}|_R$ for a topological homomorphism $\widetilde{\nu}\colon(\widetilde{R},\widetilde{\tau})\to(\widehat{R},\widehat{\tau})$. The article contains several criteria for a continuous homomorphism to be semi-topological from the left (right).
Keywords and phrases:
Topological ring, fundamental system of neighbourhoods of zero, continuous homomorphism, topological homomorphism, semi-topological homomorphism.
Received: 05.03.2006
Citation:
V. I. Arnautov, “Properties of one-sided ideals of topological rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 1, 3–14
Linking options:
https://www.mathnet.ru/eng/basm79 https://www.mathnet.ru/eng/basm/y2006/i1/p3
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Abstract page: | 272 | Full-text PDF : | 65 | References: | 53 | First page: | 2 |
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