Morita contexts and unitary ideals of rings.
In: Proceedings of the Estonian Academy of Sciences, Jg. 70 (2021-04-01), Heft 2, S. 122-134
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Zugriff:
In this paper we study Morita contexts between rings without identity. We prove that if two associative rings are connected by a Morita context with surjective mappings, then these rings have isomorphic quantales of unitary ideals. We also show that the quotient rings by ideals that correspond to each other under that isomorphism are connected by a Morita context with surjective mappings. In addition, we consider how annihilators and two-sided socles behave under that isomorphism. [ABSTRACT FROM AUTHOR]
On uuritud ühikuta ringide Morita kontekste. On t˜oestatud, et kui kaks assotsiatiivset ringi on seotud Morita kontekstiga, mille kujutused on sürjektiivsed, siis nende ringide unitaarsete ideaalide kvantaalid on isomorfsed. Samuti on näidatud, et faktoringid selliste ideaalide järgi, mis on üksteisega vastavuses selle isomorfismi korral, on ka seotud Morita kontekstiga, mille kujutused on s¨urjektiivsed. Lisaks on vaadeldud, kuidas annullaatorid ja soklid k¨aituvad selle isomorfismi suhtes. [ABSTRACT FROM AUTHOR]
Titel: |
Morita contexts and unitary ideals of rings.
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Autor/in / Beteiligte Person: | Väljako, Kristo ; Laan, Valdis |
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Zeitschrift: | Proceedings of the Estonian Academy of Sciences, Jg. 70 (2021-04-01), Heft 2, S. 122-134 |
Veröffentlichung: | 2021 |
Medientyp: | academicJournal |
ISSN: | 1736-6046 (print) |
DOI: | 10.3176/proc.2021.2.02 |
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