Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
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
Rocznik
Tom
Strony
57--70
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Institute of Mathematics, Czestochowa University of Technology, Czestochowa, Poland, nadiya.gubareni@yahoo.com
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.
- [11] Dlab V., Ringel C.M., On algebras of finite representation type, J. Algebra 1975, 33, 306-394.
- [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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPC6-0023-0007