Abstract
It is shown that a semigroup algebraK[S] which is a principal left ideal ring is a finitely generated PI-algebra of Gelfand–Kirillov dimension at most 1. A complete description of principal (left and right) ideal ringsK[S], and of the underlying semigroupsS, is obtained. Semiprime principal left ideal ringsK[S] are shown to be principal right ideal rings and a description of this class of rings follows.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
