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| Ultima descărcare din IBN: 2023-09-02 04:44 |
 SM ISO690:2012LAAN, Valdis, MARKI, Laszlo, REIMAA, Ulo. Morita equivalence of semigroups revisited. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 109-116. ISBN 978-9975-71-915-5. |
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| Conference of Mathematical Society of the Republic of Moldova 4, 2017 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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| Pag. 109-116 | ||||||
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Firm semigroups and firm acts are defined as non-additive analogues of firm rings and firm modules. Using the categories of firm acts Morita theory is developed for firm semigroups. The main result states that the categories of firm right acts over two firm semigroups are equivalent if and only if these semigroups are strongly Morita equivalent, which means that they are contained in a unitary Morita context with bijective mappings. Other categories of acts which have been used earlier to develop Morita equivalence are also investigated. Over firm semigroups all the considered categories turn out to be equivalent to the category of firm acts. |
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| Cuvinte-cheie Firm semigroup, firm act, Morita equivalence, strong Morita equivalence, adjoint functors |
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