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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 2, Pages 323–336 (Mi adm102)  
RESEARCH ARTICLE

Projective resolution of irreducible modules over tiled order

Viktor Zhuravleva, Dmytro Zhuravlyovb

a Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Volodymyrska, 64, Kyiv 01033, Ukraine
b JSCB “Industrialbank”, Processing Center, Kutuzova street, 18/7, 01133 Kyiv, Ukraine
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Abstract: We indicate the method for computing the kernels of projective resolution of irreducible module over tiled order. On the base of this method we construct projective resolution of irreducible module and calculate the global dimension of tiled order. The evident view of kernels of projective resolution allows to check easily the regularity of tiled order.
Keywords: tiled order, projective resolution, distributive module, kernel of epimorphism.
Received: 12.08.2012
Accepted: 12.08.2012
Bibliographic databases:
Document Type: Article
MSC: 16E05, 16G20, 16G10, 16D40
Language: English
Citation: Viktor Zhuravlev, Dmytro Zhuravlyov, “Projective resolution of irreducible modules over tiled order”, Algebra Discrete Math., 14:2 (2012), 323–336
Citation in format AMSBIB
\Bibitem{ZhuZhu12}
\by Viktor~Zhuravlev, Dmytro~Zhuravlyov
\paper Projective resolution of irreducible modules over tiled order
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 2
\pages 323--336
\mathnet{http://mi.mathnet.ru/adm102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099978}
\zmath{https://zbmath.org/?q=an:1288.16010}
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