شماره ركورد كنفرانس :
4079
عنوان مقاله :
Retractness of reversible directed complete poset acts
پديدآورندگان :
Mahmoudi .M m-mahmoudi@sbu.ac.ir Shahid Beheshti University , Ebrahimi .M .M m-ebrahimi@sbu.ac.ir Shahid Beheshti University , Yavari .M m_yavari@sbu.ac.ir Shahid Beheshti University
كليدواژه :
Action of a monoid , directed complete poset , absolute retract , injective , reversible
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
Actions of a monoid or a group on a set have always been of interest to mathematicians and computer scientists. On the other hand, domain theory is a respected field on the borderline between mathematics and computer science. In this talk, combining the above two notions, we consider reversible directed complete poset acts and study the algebraic notion of retractness, which is tightly connected to the study of injectivity, with respect to monomorphisms and embeddings in the category so obtained