Abstract | ||
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Let (C) over right arrow be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms. An object X of the category (C) over right arrow is called (C) over right arrow -closed if for each morphism phi subset of X x Y in the category (C) over right arrow the image phi (X) = {y is an element of Y : there exists x is an element of X (x, y) is an element of phi} is closed in Y. In the paper we survey existing and new results on topological groups, which are (C) over right arrow -closed for various categories (C) over right arrow of topologized semigroups. |
Year | DOI | Venue |
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2017 | 10.3390/axioms6030023 | AXIOMS |
Keywords | DocType | Volume |
topological group,paratopological group,topological semigroup,absolutely closed topological group,topological group of compact exponent | Journal | 6 |
Issue | ISSN | Citations |
3 | 2075-1680 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
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Taras O. Banakh | 1 | 9 | 7.24 |