Gorenstein tiled orders | Zendy

V V Kiričenko | Zendy; Marina A. Khibina | Zendy; L.Z. Mashchenko | Zendy; Makar Plakhotnyk | Zendy; В. Ф. Журавлев | Zendy

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Gorenstein tiled orders

Author(s) -

V V Kiričenko,

Marina A. Khibina,

L.Z. Mashchenko,

Makar Plakhotnyk,

В. Ф. Журавлев

Publication year - 2014

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.6.2.260-281

Subject(s) - mathematics , diagonal , permutation (music) , exponent , discrete valuation ring , order (exchange) , ring (chemistry) , valuation (finance) , combinatorics , pure mathematics , geometry , linguistics , philosophy , physics , chemistry , organic chemistry , finance , acoustics , economics

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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