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Karpatsʹkì Matematičnì Publìkacìï
Article . 2014 . Peer-reviewed
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Karpatsʹkì Matematičnì Publìkacìï
Article
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zbMATH Open
Article . 2014
Data sources: zbMATH Open
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Gorenstein tiled orders

Gorenstein tiled orders.
Authors: Kiricenko, V.; Khibina, M.; Mashchenko, L.; Plakhotnyk, M.; Zhuravlev, V.;

Gorenstein tiled orders

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

exponent matrices, Noetherian rings and modules (associative rings and algebras), Representations of orders, lattices, algebras over commutative rings, горенштейнов черепичный порядок, матрица показателей, подстановка Кириченка, indecomposable projective lattices, Lattices over orders, Gorenstein tiled order, exponent matrix, Kirichenko's permutation, gorenstein tiled order, kirichenko's permutation, QA1-939, exponent matrix, Gorenstein tiled orders, Kirichenko permutations, горенштейновий черепичний порядок, матриця показників, підстановка Кириченка, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold