Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
This paper deals with a semigroup of orderdecreasing transformations of a rooted tree. Such are the transformations α of some rooted tree G satisfying following condition: for any x from G α(x) belongs to a simple path from x to the root vertex of G. We describe all subsemigroups of the mentioned...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2006 |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157397 |
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| Цитувати: | Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree / A. Stronska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 126–140. — Бібліогр.: 8 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157397 |
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dspace |
| spelling |
irk-123456789-1573972019-06-21T01:28:25Z Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree This paper deals with a semigroup of orderdecreasing transformations of a rooted tree. Such are the transformations α of some rooted tree G satisfying following condition: for any x from G α(x) belongs to a simple path from x to the root vertex of G. We describe all subsemigroups of the mentioned semigroup, which are maximal among nilpotent subsemigroups of nilpotency class k in our semigroup. In the event when rooted tree is a ray we prove that all these maximal subsemigroups are pairwise nonisomorphic. 2006 Article Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree / A. Stronska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 126–140. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20M20. http://dspace.nbuv.gov.ua/handle/123456789/157397 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 |
This paper deals with a semigroup of orderdecreasing transformations of a rooted tree. Such are the transformations α of some rooted tree G satisfying following condition:
for any x from G α(x) belongs to a simple path from x to the
root vertex of G. We describe all subsemigroups of the mentioned
semigroup, which are maximal among nilpotent subsemigroups of
nilpotency class k in our semigroup. In the event when rooted tree
is a ray we prove that all these maximal subsemigroups are pairwise
nonisomorphic. |
| format |
Article |
| title |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| spellingShingle |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree Algebra and Discrete Mathematics |
| title_short |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| title_full |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| title_fullStr |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| title_full_unstemmed |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| title_sort |
nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157397 |
| citation_txt |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree / A. Stronska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 126–140. — Бібліогр.: 8 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| first_indexed |
2023-05-20T17:52:04Z |
| last_indexed |
2023-05-20T17:52:04Z |
| _version_ |
1796154276835229696 |