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періодичних видань НАН України
On the dimension of Kirichenko space
Репозиторій DSpace/Manakin
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| dc.contributor.author | Plakhotnyk, M. | |
| dc.date.accessioned | 2019-06-20T02:46:01Z | |
| dc.date.available | 2019-06-20T02:46:01Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | On the dimension of Kirichenko space / M. Plakhotnyk // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 87–126. — Бібліогр.: 8 назв. — англ. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/157355 | |
| dc.description.abstract | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | On the dimension of Kirichenko space | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
