Gorenstein Tiled Orders

V. Kiricenko, M. Khibina, L. Mashchenko, M. Plakhotnyk, V. Zhuravlev

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.

Keywords


Gorenstein tiled order, exponent matrix, Kirichenko's permutation

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