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...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157195 |
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| 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| _version_ | 1862539439462416384 |
|---|---|
| author | Koppitz, J. Shtrakov, S. |
| author_facet | Koppitz, J. Shtrakov, S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-24T15:19:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157195 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T15:19:30Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Koppitz, J. Shtrakov, S. 2019-06-19T17:29:45Z 2019-06-19T17:29:45Z 2005 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. https://nasplib.isofts.kiev.ua/handle/123456789/157195 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On mappings of terms determined by hypersubstitutions Article published earlier |
| spellingShingle | On mappings of terms determined by hypersubstitutions Koppitz, J. Shtrakov, S. |
| title | 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_short | On mappings of terms determined by hypersubstitutions |
| title_sort | on mappings of terms determined by hypersubstitutions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157195 |
| work_keys_str_mv | AT koppitzj onmappingsoftermsdeterminedbyhypersubstitutions AT shtrakovs onmappingsoftermsdeterminedbyhypersubstitutions |