Gorenstein tiled orders

Authors

  • V. Kiricenko Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
  • M. Khibina Institute of Engineering Thermophysics, 2-a Zhelyabova str., 03057, Kyiv, Ukraine
  • L. Mashchenko Kyiv National University of Trade and Economics, 19 Kioto str., 02156, Kyiv, Ukraine
  • M. Plakhotnyk Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
  • V. Zhuravlev Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
https://doi.org/10.15330/cmp.6.2.260-281

Keywords:

Gorenstein tiled order, exponent matrix, Kirichenko's permutation
Published online: 2014-12-26

Abstract

The aim of this article is to describe exponent matrices of Gorenstein tiled orders. The necessary and sufficient condition for possibility such to construct a Gorenstein tiled order which has given orders over some discrete valuation ring (the unique for the whole main diagonal) on the main diagonal and its permutation be a product of correspond cycles with given cyclic Gorenstein tiled order is considered.

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How to Cite
(1)
Kiricenko, V.; Khibina, M.; Mashchenko, L.; Plakhotnyk, M.; Zhuravlev, V. Gorenstein Tiled Orders. Carpathian Math. Publ. 2014, 6, 260-281.