Gröbner–Shirshov Bases for Replicated Algebras Научная публикация
| Журнал |
Algebra Colloquium
ISSN: 1005-3867 |
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| Вых. Данные | Год: 2017, Том: 24, Номер: 04, Страницы: 563-576 Страниц : 14 DOI: 10.1142/s1005386717000372 | ||
| Ключевые слова | di-algebra; Gröbner-Shirshov basis; tri-algebra | ||
| Авторы |
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| Организации |
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Реферат:
We establish a universal approach to solutions of the word problem in the varieties of di- and tri-algebras. This approach, for example, allows us to apply Gröbner–Shirshov bases method for Lie algebras to solve the ideal membership problem in free Leibniz algebras (Lie di-algebras). As another application, we prove an analogue of the Poincaré–Birkhoff–Witt Theorem for universal enveloping associative tri-algebra of a Lie tri-algebra (CTD!-algebra).
Библиографическая ссылка:
Kolesnikov P.S.
Gröbner–Shirshov Bases for Replicated Algebras
Algebra Colloquium. 2017. V.24. N04. P.563-576. DOI: 10.1142/s1005386717000372 WOS Scopus OpenAlex
Gröbner–Shirshov Bases for Replicated Algebras
Algebra Colloquium. 2017. V.24. N04. P.563-576. DOI: 10.1142/s1005386717000372 WOS Scopus OpenAlex
Даты:
| Поступила в редакцию: | 2 янв. 2017 г. |
Идентификаторы БД:
| Web of science: | WOS:000415364500003 |
| Scopus: | 2-s2.0-85034055887 |
| OpenAlex: | W2656423269 |