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Solvability and nilpotency of expanded groups relative to the nearring of zero and congruence preserving functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Gary L. Peterson --- James Madison University, USA Stuart D. Scott --- University of Auckland, New ZealandIn this paper we study solvability and nilpotency of an expanded group relative to the nearring of zero and congruence preserving functions of the expanded group. A particular case of interest is when the expanded group is a nearring module... -
On the sum of annihilators in nearrings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Nastaran Naseripour --- Shahrood University of Technology, Iran Ebrahim Hashemi --- Shahrood University of Technology, Iran Mahsa Paykanian --- Shahrood University of Technology, IranA ring is termed a left IN-ring if the right annihilator of the intersection of any two left ideals is equal to the sum of their right annihilators. As a generalization of left IN-ring, a ring is called a right...
