On right hereditary SPSD-rings of bounded representation type. Part 1

• Autorzy: Gubareni N.
• Języki publikacji: EN

Abstrakty

EN

The structure of right hereditary semiperfect semidistributive rings of bounded representation type is described in terms of Dynkin diagrams and diagrams with weights. We describe it using a reduction to mixed matrix problems.

Słowa kluczowe

EN

SPSD-rings; Dynkin diagrams; theory of rings

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 3
• Strony: 57--70
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Gubareni N.

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

Bibliografia

• [1] Gubareni N., Finitely presented modules over right hereditary SPSD-rings, Scientific Research of the Institute of Mathematics and Computer Science 2010, 2(9), 49-57.
• [2] Kirichenko V.V., Mogileva V.V., Pirus E.M., Khibina M.A., Semiperfect rings and piecewise domains, In: Algebraic Researches, Institute of Mathematics NAS Ukraine, 1995, 33-65 (in Russian).
• [3] Dokuchaev M., Gubareni N., Rings connected with finite posets, Scientific Research of the Institute of Mathematics and Computer Science 2010, 2(9), 25-36.
• [4] Gubareni N., Structure of finitely generated modules over right hereditary SPSD-rings, Scientific Research of the Institute of Mathematics and Computer Science 2012, 3(12), 45-56.
• [5] 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.
• [6] Hazewinkel M., Gubareni N., Kirichenko V.V. Algebras, Rings and Modules. Vol. 2. Springer, 2007.
• [7] Gubareni N.M., Kirichenko V.V., Revitskaya U.S., Semiperfect semidistributive semihereditary rings of modular restricted type, Proc. Gomel State Univ., Problems in Algebra 1999, 1(15), 29-47 (in Russian).
• [8] Gubareni N.M., Right hereditary rings of bounded representation type, Preprint-148 Inst. Electrodynamics Akad. Nauk Ukrain. SSR, Kiev 1977, 48 p (in Russian).
• [9] Zavadskij A.G., Revitskaya U.S., A matrix problem over a discrete valuation ring, Mat. Sb. 1999, 6(190), 59-82 (in Russian); English transl.: Sb. Math. 1999, 6, 835-858.
• [10] Gabriel P., Indecomposable representations I, Manuscripta Math. 1972, 6, 71-103.
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• [12] Kleiner M.M., Partially ordered sets of finite type, Zap. Nauchn. Sem. LOMI 1972, 28, 32-41 (in Russian); English transl.: J. Soviet Math. 1975, 3, 607-615.