Liubomir Chiriac, Liubomir Chiriac Jr., Natalia Bobeica, “On topological groupoids and multiple identities”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, Number 1,Pages <nobr>67

Research articles

On topological groupoids and multiple identities

Liubomir Chiriac^a, Liubomir Chiriac Jr.^b, Natalia Bobeica^a

^a Department of Mathematics, Tiraspol State University, Chisinau, Moldova
^b Department of Mathematics, Princeton University, USA

Abstract: This paper studies some properties of $(n,m)$-homogeneous isotopies of medial topological groupoids. It also examines the relationship between paramediality and associativity. We extended some affirmations of the theory of topological groups on the class of topological $(n,m)$-homogeneous primitive goupoids with divisions.

Keywords and phrases: medial and paramedial topological groupoid, $(n,m)$-identity, topological primitive groupoid with divisions, isotope.

MSC: 20N15

Received: 12.05.2008
Revised: 05.05.2009

Language: English