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On Jacobson And Nil Radicals Related To Polynomial Rings
(Korean Mathematical Soc, 2016)
This note is concerned with examining nilradicals and Jacobson radicals of polynomial rings when related factor rings are Armendariz. Especially we elaborate upon a well-known structural property of Armendariz rings, ...
Rings Close To Semiregular
(Korean Mathematical Soc, 2012)
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R/J satisfies ...
Primitive Submodules, Co-Semisimple and Regular Modules
(Mathematical Soc Rep China, 2018)
In this paper, primitive submodules are defined and various properties of them are investigated. Some characterizations of co-semisimple modules are given and several conditions under which co-semisimple and regular modules ...