Gorenstein tiled orders

Gorenstein tiled orders

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 diagona...

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Main Authors: V. Kiricenko, M. Khibina, L. Mashchenko, M. Plakhotnyk, V. Zhuravlev
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2014-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
gorenstein tiled order
exponent matrix
kirichenko's permutation
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1358
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spelling doaj-9b71eb541d2749d3a1360ec0234f31a32020-11-25T03:06:43ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102014-12-016226028110.15330/cmp.6.2.260-2811358Gorenstein tiled ordersV. Kiricenko0M. Khibina1L. Mashchenko2M. Plakhotnyk3V. Zhuravlev4Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, UkraineInstitute of Engineering Thermophysics, 2-a Zhelyabova str., 03057, Kyiv, UkraineKyiv National University of Trade and Economics, 19 Kioto str., 02156, Kyiv, UkraineTaras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, UkraineTaras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, UkraineThe 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.https://journals.pnu.edu.ua/index.php/cmp/article/view/1358gorenstein tiled orderexponent matrixkirichenko's permutation
collection DOAJ
language English
format Article
sources DOAJ
author V. Kiricenko
M. Khibina
L. Mashchenko
M. Plakhotnyk
V. Zhuravlev
spellingShingle V. Kiricenko
M. Khibina
L. Mashchenko
M. Plakhotnyk
V. Zhuravlev
Gorenstein tiled orders
Karpatsʹkì Matematičnì Publìkacìï
gorenstein tiled order
exponent matrix
kirichenko's permutation
author_facet V. Kiricenko
M. Khibina
L. Mashchenko
M. Plakhotnyk
V. Zhuravlev
author_sort V. Kiricenko
title Gorenstein tiled orders
title_short Gorenstein tiled orders
title_full Gorenstein tiled orders
title_fullStr Gorenstein tiled orders
title_full_unstemmed Gorenstein tiled orders
title_sort gorenstein tiled orders
publisher Vasyl Stefanyk Precarpathian National University
series Karpatsʹkì Matematičnì Publìkacìï
issn 2075-9827
2313-0210
publishDate 2014-12-01
description 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.
topic gorenstein tiled order
exponent matrix
kirichenko's permutation
url https://journals.pnu.edu.ua/index.php/cmp/article/view/1358
work_keys_str_mv AT vkiricenko gorensteintiledorders
AT mkhibina gorensteintiledorders
AT lmashchenko gorensteintiledorders
AT mplakhotnyk gorensteintiledorders
AT vzhuravlev gorensteintiledorders
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