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 SM ISO690:2012BOTNARU, Dumitru, CERBU, Olga. About Cartesian Product of Two Subcategories. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 83-84. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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Summary. We examine a categorial construction which permit to obtained a new re ective subcategories with a specal properties. Key words: Re ective subcategories, the pairs of conjugated subcategories, the right product of the two subcategories. Results. Let K be a core ective subcategory, and R a re ective subcategory of the category of locally convex topological vector Hausdor spaces C2V with respective functors k : C2V -! K and r : C2V -! R. Concerning of the terminology and notation see [1]. Note by K = fm 2Mono j k(m) 2 Isog, "R = fe 2 Epi j r(e) 2 Isog. Further for an arbitrary object X of the category C2V we examine the follows construction: let kX : kX -! X is K-coreplique, and rkX : kX -! rkX-replique of the respective objects. On the morphism kX and rkX we construct the cocartesian square vX kX = uX rkX: |
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