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 for i, j = 1, . . . , n determined by a...
Збережено в:
| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157355 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the dimension of Kirichenko space / M. Plakhotnyk // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 87–126. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157355 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1573552019-06-21T01:27:37Z On the dimension of Kirichenko space Plakhotnyk, M. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/157355 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Plakhotnyk, M. |
| spellingShingle |
Plakhotnyk, M. On the dimension of Kirichenko space Algebra and Discrete Mathematics |
| author_facet |
Plakhotnyk, M. |
| author_sort |
Plakhotnyk, M. |
| title |
On the dimension of Kirichenko space |
| title_short |
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_sort |
on the dimension of kirichenko space |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157355 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT plakhotnykm onthedimensionofkirichenkospace |
| first_indexed |
2023-05-20T17:51:49Z |
| last_indexed |
2023-05-20T17:51:49Z |
| _version_ |
1796154266999586816 |