The largest strong left quotient ring of a ring

Abstract

For an arbitrary ring R, the largest strong left quotient ring Q

Normed quotient rings

“…Bavula [4] proved existence of the largest left quotient ring Q 1 (R), i.e. Q 1 (R) = S 0 (R) (−1) R where S 0 (R) is the largest left regular denominator set of R. Bavula [5] defined the largest strong left denominator set T l (R) of R, the largest strong left quotient ring Q s l (R) := T l (R) (−1) R of R and the strong left localization radical l s R of R, and to study their properties. Shilov [23] defined on decomposition of a commutative normed ring in direct sums of ideals.…”