Structure of finitely generated modules over right hereditary SPSD-rings

• Autorzy: Gubareni N.
• Języki publikacji: EN

Abstrakty

EN

In this article we consider the structure of finitely generated modules over right hereditary semiperfect semidistributive rings. We show in what way a description of finitely generated modules over these rings of bounded representation type can be reduced to a mixed matrix problem. Some special mixed matrix problems over a discrete valuation ring and its skew field of fractions are also considered.

Słowa kluczowe

EN

finitely generated modules; SPSD-rings; theory of rings

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 3
• Strony: 45--56
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Gubareni N.

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

Bibliografia

• [1] Dokuchaev M., Gubareni N., Rings related to finite posets, Scientific Research of the Institute of Mathematics and Computer Science 2010, 2(9), 25-36.
• [2] 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.
• [3] Gubareni N.M., Right hereditary rings of bounded representation type, Preprint-148 Inst. Electrodynamics Akad. Nauk Ukrain. SSR, Kiev 1977 (in Russian).
• [4] 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.
• [5] Nazarova L.A., Roiter A.V., Representations of partially ordered sets, Zap. Nauchn. Sem. LOMI 1972, 28, 5-31 (in Russian); English transl.: J. Soviet Math. 1975, 3, 585-606.
• [6] 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.
• [7] Gubareni N., Valuation and discrete valuation rings, Scientific Research of the Institute of Mathematics and Computer Science 2011, 1(10), 61-70.
• [8] 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).
• [9] Warfield R.R., Serial rings and finitely presented modules, J. Algebra 1975, 2(37), 187-222.