Viktor Zhuravlev, Dmytro Zhuravlyov, “Projective resolution of irreducible modules over tiled order”, Algebra Discrete Math., 2012, Volume 14, Issue 2,Pages <nobr>323

RESEARCH ARTICLE

Projective resolution of irreducible modules over tiled order

Viktor Zhuravlev^a, Dmytro Zhuravlyov^b

^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

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.

MSC: 16E05, 16G20, 16G10, 16D40

Received: 12.08.2012
Accepted: 12.08.2012

Language: English