On left quasi-ample semigroups with ΠL¹-embeddable band of idempotents

• Main Authors: Bernd Billhardt, Yanisa Chaiya, Ekkachai Laysirikul, Kritsada Sangkhanan, Jintana Sanwong
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85016967196&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/57509
• Institution: Chiang Mai University

© 2017 Taylor & Francis. Let ΠL1denote a direct power of L1, the two-element left zero semigroup with identity adjoined. A semigroup S is called left quasi-ample if for each a∈S there exists a unique idempotent a+∈S such that xa = ya ⇔ xa+= ya+for all x, y∈S1and the left ample condition e2= e...