3 papers
math.CT2007
Structure of Ann-categories and Mac Lane - Shukla cohomology
Nguyen Tien Quang
In this paper we study the structure of a class of categories having two operations which satisfy axioms analoguos to that of rings. Such categories are called "Ann - categories".…
math.CT2007
The Coherence Theorem for Ann-Categories
Nguyen Tien Quang
This paper presents the proof of the coherence theorem for Ann-categories whose set of axioms and original basic properties were given in [9]. Let $$\A=(\A,{\Ah},c,(0,g,d),a,(1,l,r…
math.CT2007
Ring extension problem, Shukla cohomology and Ann-category theory
Nguyen Tien Quang, Nguyen Thu Thuy
Every ring extension of by induces a pair of group homomorphisms preserving multiplication, satis…