Czasopismo
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Abstrakty
It was shown in [Colloq. Math. 135 (2014), 227-262] that the pure semisimplicity conjecture (briefly, pssC) can be split into two parts: first, a weak pssC that can be seen as a purely linear algebra condition, related to an embedding of division rings and properties of matrices over those rings; the second part is the assertion that the class of left pure semisimple sporadic rings (ibid.) is empty. In the present article, we characterize the class of left pure semisimple sporadic rings having finitely many Auslander-Reiten components; the characterization is given through properties of the defining bimodules and the sequences of dimensions associated to these bimodules.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
55-93
Opis fizyczny
Daty
wydano
2015
Twórcy
autor
- Department of Mathematics, University of Murcia, 30100 Murcia, Spain
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-1-4