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  1. Solvability and nilpotency of expanded groups relative to the nearring of zero and congruence preserving functions

    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 Zealand
    In 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...
  2. On the sum of annihilators in nearrings

    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, Iran
    A 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...