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 o...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| 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/123456789/157397 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731585796702208 |
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| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T19:26:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157397 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:26:42Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 2019-06-20T03:13:09Z 2019-06-20T03:13:09Z 2006 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. https://nasplib.isofts.kiev.ua/handle/123456789/157397 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree Article published earlier |
| spellingShingle | Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157397 |