(D,O)-species of bounded representation type

• Autorzy: Gubareni N.

Identyfikatory

DOI

10.17512/jamcm.2016.4.05

• Języki publikacji: EN

Abstrakty

EN

We describe weak (D,O)-species of bounded representation type in terms of Dynkin diagrams and diagrams with weights. We reduce the problem of their description to flat mixed matrix problems over discrete valuation rings and their common skew field of fractions.

Słowa kluczowe

EN

species; (D,O)-species; flat mixed matrix problems; discrete valuation rings; Dynkin diagrams

PL

bloki; płaszczyznowe mieszane zagadnienia macierzowe; pierścień dyskretnie waluacyjny; diagram Dynkina

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 4
• Strony: 39--50
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Gubareni N.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Gabriel P., Indecomposable representations I, Manuscripta Math. 1972, 6, 71-103.
• [2] Dlab V., Ringel C.M., On algebras of finite representation type, Journal of Algebra 1975, 33, 306-394.
• [3] Dowbor P., Ringel C.M., Simson D., Hereditary Artinian rings of finite representation type, Representation theory, II. Lecture Notes in Math. 1980, 832, 232-241.
• [4] Gubareni N., Representations of (D,O)-species and flat mixed matrix problems, Journal of Applied Mathematics and Computational Mechanics 2016, 3(15), 47-56.
• [5] Gubareni N., Structure of finitely generated modules over right hereditary SPSD-rings, Scientific Research of the Institute of Mathematics and Computer Science 2012, 3(11), 45-56.
• [6] Gubareni N., Some mixed matrix problems over several discrete valuation rings, Journal of Applied Mathematics and Computational Mechanics 2013, 4(12), 47-58.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.