Gelfand-Naimark theorems for non-commutative topological rings
Hofmann, K. H.
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Hofmann, K. H.
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Michael Megrelishvili (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Horea Florian Abrudan (2011)
Czechoslovak Mathematical Journal
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We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups for which is regular is given.
Raphael, R. (1999)
Theory and Applications of Categories [electronic only]
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O. Marrero (1979)
Revista Matemática Hispanoamericana
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Mart Abel, Mati Abel (2014)
Topological Algebra and its Applications
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In 1964, Bertram Yood posed the following problem: whether the intersection of all closed maximal regular left ideals of a topological ring coincides with the intersection of all closed maximal regular right ideals of this ring. It is proved that these two intersections coincide for advertive and simplicial topological rings and, using this result, it is shown that the topological left radical and the topological right radical for every advertive and simplicial topological algebra coincide. ...
Ashish K. Srivastava (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article presents a brief survey of the work done on rings generated by their units.