Gorenstein tiled orders

Array

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

DOI:

https://doi.org/10.15330/cmp.6.2.260-281

Keywords:

Gorenstein tiled order, exponent matrix, Kirichenko's permutation

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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Published

2014-12-26

How to Cite

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

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Scientific articles