Derivations on Pseudoquotients

• Date: 2013
• Main Authors: Majeed, A., Mikusiński, P., Маджид, А., Мікусінскі, П.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2472
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A space of pseudoquotients denoted by B(X, S) is defined as equivalence classes of pairs (x, f); where x is an element of a nonempty set X, f is an element of S; a commutative semigroup of injective maps from X to X; and (x, f) ~ (y, g) for gx = fy: If X is a ring and elements of S are ring homomor...