On translational hulls of type-A semigroups

✍ Scribed by Xiaojiang Guo; K.P. Shum

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 183 KB
• Volume: 269
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00522-2

✦ Synopsis

In this paper, the translational hull of a type-A semigroup is considered. Our main result is to prove that the translational hull of a semilattice of cancellative monoids (respectively a proper type-A semigroup, an E-reflexive type-A semigroup) is still the same type of semigroups. This answers an open problem posted by Petrich on translational hulls of semigroups in 1984.