On radical formula in modules over noncommutative rings | Zendy

Ortaç Öneş | Zendy

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On 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.

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