Open AccessOn radical formula in modules over noncommutative rings
Author(s) -
Ortaç Öneş
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002443o
Subject(s) - mathematics , noncommutative geometry , prime (order theory) , generalization , nilpotent , pure mathematics , intersection (aeronautics) , associated prime , algebra over a field , discrete mathematics , combinatorics , mathematical analysis , engineering , aerospace engineering
This paper examines the radical formula in noncommutative case and for this purpose, a generalization of prime submodule is defined. It is proved that there is a direct connection between onesided prime ideals and one-sided prime submodules. Moreover the connections between the intersection of all one-sided prime submodules and strongly nilpotent elements of a module are studied.