A functor from semigroups to rings

• Type: Article in International Scientific Journal
• Date: 2000

Authors

Mario Petrich (Author) Other; Pedro V. Silva (Author) FCUP

Journal

Title: Journal of Pure and Applied Algebra

Vol. 148

Pages: 285-307

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

ISI Web of Science

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-039

DOI: 10.1016/s0022-4049(98)00142-x

Abstract (EN): The functor Z in question associates to every semigroup S the semigroup ring Z(S) where Z is the ring of integers. We construct two more functors, one naturally equivalent to Z and one adjoint of Z. In relation to the functor Z, we also study the functor which to each ring R associates the usual embedding of R into a unitary ring. We consider the effect of the functor Z on such semigroup constructions as strong semilattices of semigroups, Rees matrix and Bruck semigroups. The paper concludes with certain commutativity property of Z with the translational hull in semigroups and rings.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23