QA285 : On a Ring Property Unifying Reversible and Right Duo Rings
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2014
Authors:
Abstarct: In this thesis first, we recall the definitions and basic properties of commutative and
noncommutative rings. Then we investigate the McCoy rings and examine the examples
of this rings. Also, the concepts of reversible right duo and Armandariz rings are known
to play important roles in ring theory and independent of one another. In this thesis we
focus on a concept that can unify them, calling it a ring Armendariz like ring, but not
Armandariz (reversible or right due), we show the difference between right Armendarizlike
ring and strongly right McCoy.
Finally, for a regular ring R, it is proved that R is right Armendariz like if and only if
R is strongly right McCoy if and only if R is Abelian it is shown that a ring R is right
Armendarize like if and only if so the classical right quotient ring.
Keywords:
#McCoy Ring #Armendariz Ring #Reversible Ring #Ideal #Right Duo Ring.
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor: