Reducibility of pointlike problems

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Almeida, J (Author) FCUP; Costa, JC (Author) Other; Zeitoun, M (Author) Other

Journal

Title: Semigroup Forum

Vol. 94

Pages: 325-335

ISSN: 0037-1912

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-00K-11B

DOI: 10.1007/s00233-015-9769-2

Abstract (EN): We show that the pointlike and the idempotent pointlike problems are reducible with respect to natural signatures in the following cases: the pseudovariety of all finite semigroups in which the order of every subgroup is a product of elements of a fixed set pi of primes; the pseudovariety of all finite semigroups in which every regular J-class is the product of a rectangular band by a group from a fixed pseudovariety of groups that is reducible for the pointlike problem, respectively graph reducible. Allowing only trivial groups, we obtain omega-reducibility of the pointlike and idempotent pointlike problems, respectively for the pseudovarieties of all finite aperiodic semigroups (A) and of all finite semigroups in which all regular elements are idempotents (DA).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11