Representations of (D,O)-species and flat mixed matrix problems

• Autorzy: Gubareni N.

Identyfikatory

DOI

10.17512/jamcm.2016.3.05

• Języki publikacji: EN

Abstrakty

EN

The problem of describing representations of (D,O)-species is reduced to flat mixed matrix problems over discrete valuation rings and their common skew field of fractions.

Słowa kluczowe

EN

O-species; (D,O)-species; representations of (D,O)-species; (D,O)-species of bounded representation type; flat mixed matrix problem; discrete valuation rings

PL

reprezentacje nierozkładalne; bloki; płaszczyznowe mieszane zagadnienia macierzowe; pierścień dyskretnie waluacyjny; reprezentacje O-bloku

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 3
• Strony: 47--56
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Gubareni N.

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

Bibliografia

• [1] Gubareni N., O-species and tensor algebras, Journal of Applied Mathematics and Computational Mechanics 2016, 2(14).
• [2] Gabriel P., Indecomposable representations I, Manuscripta Math. 1972, 6, 71-103.
• [3] Drozd Yu.A., The structure of hereditary rings (in Russian), Mat. Sbornik 1980, 113(155), N.1(9), 161-172. English translation: Math. USSR Sbornik 1982, 41(1), 139-148.
• [4] Zavadskij A.G., Revitskaya U.S., A matrix problem over a discrete valuation rings, Mat. Sb. 1999, 190(6), 835-858.
• [5] Gubareni N.M., Semiperfect right hereditary rings of module representation type, Preprint 78.1, Academy of Sciences of USSR, IM, Kiev 1978 (in Russian).
• [6] Gubareni N.M., Right hereditary rings of bounded representation type, Preprint-148 Inst. Electrodynamics Akad. Nauk Ukrain. SSR, Kiev 1977 (in Russian).
• [7] Zavadskij A.G., Kirichenko V.V., Torsion-free modules over primary rings, Zap. Nauchn. Sem. LOMI 1976, 57, 100-116 (in Russian). English translation: J. Soviet Math. 1979, 11, 598-612.
• [8] Zavadskij A.G., Kirichenko V.V., Semimaximal rings of finite type, Mat. Sb. 1977, 103, 323-345.
• [9] Gubareni N., Some mixed matrix problems over several discrete valuation rings, Journal of Applied Mathematics and Computational Mechanics 2013, 4(12), 47-58.
• [10] Hazewinkel M., Gubareni N., Kirichenko V.V., Algebras, Rings and Modules. Vol. 1, Mathematics and Its Applications, v.575, Kluwer Academic Publisher, Dordrecht/Boston/London 2004.
• [11] Hazewinkel M., Gubareni N., Kirichenko V.V., Algebras, Rings and Modules. Vol. 2, Springer, 2007.
• [12] Roiter A.V., Unbounded dimensionality of indecomposable representations of an algebra with an infinite number of indecomposable representations of an algebra with an infinite number of indecomposable representations, Math. USSR Izv. 1968, 2(6), 1223-1230.
• [13] Auslander M., Representation theory of Artin algebras II, Comm. Algebra 1974, 1, 269-310.
• [14] 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), 45-55.
• [15] Rowen L.H., Finitely presented modules over semiperfect rings, Proc. Amer. Math. Soc. 1986, 97(1), 1-7.

Uwagi

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