Open AccessGorenstein tiled orders
Author(s) -
V V Kiričenko,
Marina A. Khibina,
L.Z. Mashchenko,
Makar Plakhotnyk,
V. M. Zhuravlev
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
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.