On the dimension of Kirichenko space
We introduce a notion of the Kirichenko space
 which is connected with the notion of Gorenstein matrix (see [2],
 ch. 14). Every element of Kirichenko space is an n × n matrix,
 whose elements are solutions of the equations ai,j +aj,σ(i) = ai,σ(i)
 ;
 a₁,i = 0...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157355 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the dimension of Kirichenko space / M. Plakhotnyk // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 87–126. — Бібліогр.: 8 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546458779058176 |
|---|---|
| author | Plakhotnyk, M. |
| author_facet | Plakhotnyk, M. |
| citation_txt | On the dimension of Kirichenko space / M. Plakhotnyk // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 87–126. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We introduce a notion of the Kirichenko space
which is connected with the notion of Gorenstein matrix (see [2],
ch. 14). Every element of Kirichenko space is an n × n matrix,
whose elements are solutions of the equations ai,j +aj,σ(i) = ai,σ(i)
;
a₁,i = 0 for i, j = 1, . . . , n determined by a permutation σ which
has no cycles of the length 1. We give a formula for the dimension
of this space in terms of the cyclic type of σ.
|
| first_indexed | 2025-11-25T12:56:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157355 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T12:56:41Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Plakhotnyk, M. 2019-06-20T02:46:01Z 2019-06-20T02:46:01Z 2006 On the dimension of Kirichenko space / M. Plakhotnyk // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 87–126. — Бібліогр.: 8 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/157355 We introduce a notion of the Kirichenko space
 which is connected with the notion of Gorenstein matrix (see [2],
 ch. 14). Every element of Kirichenko space is an n × n matrix,
 whose elements are solutions of the equations ai,j +aj,σ(i) = ai,σ(i)
 ;
 a₁,i = 0 for i, j = 1, . . . , n determined by a permutation σ which
 has no cycles of the length 1. We give a formula for the dimension
 of this space in terms of the cyclic type of σ. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the dimension of Kirichenko space Article published earlier |
| spellingShingle | On the dimension of Kirichenko space Plakhotnyk, M. |
| title | On the dimension of Kirichenko space |
| title_full | On the dimension of Kirichenko space |
| title_fullStr | On the dimension of Kirichenko space |
| title_full_unstemmed | On the dimension of Kirichenko space |
| title_short | On the dimension of Kirichenko space |
| title_sort | on the dimension of kirichenko space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157355 |
| work_keys_str_mv | AT plakhotnykm onthedimensionofkirichenkospace |