KARAKTERISASI RING DENGAN SIFAT UNIQUELY MORPHIC; CHARACTERIZATION OF RINGS WITH UNIQUELY MORPHIC PROPERTIES

HENRY WILLYAM MICHEL PATTY, Sri Wahyuni

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

A ring R is called left morphic if for each a?R , R / Ra ? l(a) or equivalently there exists b?R such that Ra = l(b) and l(a) = Rb , where l(a) and l(b) denote the left annihilators of a and b in R, respectively. Motivated by this left morphic properties, we will investigate the rings R satisfying uniquely morphic properties, i.e. for each 0 ? a?R there exists a unique b?R such that Ra = l(b) and l(a) = Rb . In this thesis, we study the characterization of uniquely morphic rings.

Kata Kunci : annihilator, left morphic, uniquely morphic