On mappings of terms determined by hypersubstitutions
The extensions of hypersubstitutions are mappings on the set of all terms. In the present paper we characterize all hypersubstitutions which provide bijections on the set of all terms. The set of all such hypersubstitutions forms a monoid. On the other hand, one can modify each hypersubstitution...
Збережено в:
| Дата: | 2005 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157195 |
| 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 mappings of terms determined by hypersubstitutions / J. Koppitz, S. Shtrakov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 18–29. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157195 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1571952019-06-20T01:29:25Z On mappings of terms determined by hypersubstitutions Koppitz, J. Shtrakov, S. The extensions of hypersubstitutions are mappings on the set of all terms. In the present paper we characterize all hypersubstitutions which provide bijections on the set of all terms. The set of all such hypersubstitutions forms a monoid. On the other hand, one can modify each hypersubstitution to any mapping on the set of terms. For this we can consider mappings ρ from the set of all hypersubstitutions into the set of all mappings on the set of all terms. If for each hypersubstitution σ the application of ρ(σ) to any identity in a given variety V is again an identity in V , so that variety is called ρ-solid. The concept of a ρ-solid variety generalizes the concept of a solid variety. In the present paper, we determine all ρ-solid varieties of semigroups for particular mappings ρ. 2005 Article On mappings of terms determined by hypersubstitutions / J. Koppitz, S. Shtrakov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 18–29. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20M14, 20M07. http://dspace.nbuv.gov.ua/handle/123456789/157195 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 |
The extensions of hypersubstitutions are mappings on the set of all terms. In the present paper we characterize
all hypersubstitutions which provide bijections on the set of all
terms. The set of all such hypersubstitutions forms a monoid.
On the other hand, one can modify each hypersubstitution to
any mapping on the set of terms. For this we can consider mappings ρ from the set of all hypersubstitutions into the set of all
mappings on the set of all terms. If for each hypersubstitution σ
the application of ρ(σ) to any identity in a given variety V is again
an identity in V , so that variety is called ρ-solid. The concept of
a ρ-solid variety generalizes the concept of a solid variety. In the
present paper, we determine all ρ-solid varieties of semigroups for
particular mappings ρ. |
| format |
Article |
| author |
Koppitz, J. Shtrakov, S. |
| spellingShingle |
Koppitz, J. Shtrakov, S. On mappings of terms determined by hypersubstitutions Algebra and Discrete Mathematics |
| author_facet |
Koppitz, J. Shtrakov, S. |
| author_sort |
Koppitz, J. |
| title |
On mappings of terms determined by hypersubstitutions |
| title_short |
On mappings of terms determined by hypersubstitutions |
| title_full |
On mappings of terms determined by hypersubstitutions |
| title_fullStr |
On mappings of terms determined by hypersubstitutions |
| title_full_unstemmed |
On mappings of terms determined by hypersubstitutions |
| title_sort |
on mappings of terms determined by hypersubstitutions |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157195 |
| citation_txt |
On mappings of terms determined by hypersubstitutions / J. Koppitz, S. Shtrakov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 18–29. — Бібліогр.: 6 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT koppitzj onmappingsoftermsdeterminedbyhypersubstitutions AT shtrakovs onmappingsoftermsdeterminedbyhypersubstitutions |
| first_indexed |
2023-05-20T17:51:41Z |
| last_indexed |
2023-05-20T17:51:41Z |
| _version_ |
1796154258108710912 |