PROFINITE IDENTITIES FOR FINITE SEMIGROUPS WHOSE SUBGROUPS BELONG TO A GIVEN PSEUDOVARIETY / Almeida J.,Volkov M. V. // JOURNAL OF ALGEBRA AND ITS APPLICATIONS. - 2003. - V. 2, l. 2. - P. 137-163.

ISSN/EISSN:
0219-4988 / 1793-6829
Type:
Article
Abstract:
We introduce a series of new polynomially computable implicit operations on the class of all finite semigroups. These new operations enable us to construct a finite pro-identity basis for the pseudovariety (H) over bar of all finite semigroups whose subgroups belong to a given finitely based pseudovariety H of finite groups.
Author keywords:
Semigroup pseudovariety; implicit operation; free profinite semigroup; pro-identity; polynomial time algorithm; idemoptent; minimal idea; pseudoidentity
DOI:
10.1142/S0219498803000519
Web of Science ID:
ISI:000209820000002
Соавторы в МНС:
Другие поля
Поле Значение
Month JUN
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
Address 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language English
EISSN 1793-6829
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email jalmeida@fc.up.pt Mikhail.Volkov@usu.ru
Funding-Acknowledgement F.C.T. through Centro de Matemntica, University of Porto, Porto, Portugal; Alexander von Humboldt Foundation; F.C.T. through Centro de Matemntica; INTAS through the Network project ``Combinatorial and Geometric Theory of Groups and Semigroups and its Applications to Computer Science{''} {[}99-1224]; {[}Praxis/2/2.1/MAT/63/94]
Funding-Text The first author is supported, in part, by the project Praxis/2/2.1/MAT/63/94. Support from F.C.T. through Centro de Matemntica, University of Porto, Porto, Portugal, is also gratefully acknowledged.r This work was started in May 1996 when the second author was visiting the University of Lisbon with the support of the Alexander von Humboldt Foundation, and it was continued in March June 1999 when he was visiting the University of Porto with the support of F.C.T. through Centro de Matemntica and the project Praxis/2/2.1/MAT/63/94. The authors also acknowledge support from the INTAS through the Network project 99-1224 ``Combinatorial and Geometric Theory of Groups and Semigroups and its Applications to Computer Science{''}.
Number-of-Cited-References 37
Journal-ISO J. Algebra. Appl.
Doc-Delivery-Number V45MF