Axiomatisability problems for S-acts and S-posets
Lubna Shaheen · White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York) · 2011
A non-empty set A is a left S-act if there exists a morphism from monoid S to the monoid of tranformations of A, denoted by T A .We note that 1 → I A where I A is the identity element of T A .Thus a left S-act A is a non-empty set on which S acts unitarily on the left.Therefore S-acts can be considered as a representation of monoids by Besides my hard work, this research endeavour was made possible by the assistance, support and encouragement of various people and institutions.Most importantly, I am grateful to the Higher Education Commission of Pakistan (HEC) for providing me an opportunity to study at York by granting me an 'Overseas Scholarship'.Its staff in Islamabad extended its support in all possible manner for which I am profoundly thankful.University of York, without any doubt is an exquisite place of learning with very supporting ambiance which enabled me to enjoy every bit of my stay.I am indebted to this excellent institution for hosting and facilitating me.The