Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
Vernadsky National Library of Ukraine
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| Title |
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
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| 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. |
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| Date |
2019-06-20T03:13:09Z
2019-06-20T03:13:09Z 2006 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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