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Properties of -Primal Graded Ideals

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  • Ameer Jaber

Abstract

Let be a commutative graded ring with unity . A proper graded ideal of is a graded ideal of such that . Let be any function, where denotes the set of all proper graded ideals of . A homogeneous element is - prime to if where is a homogeneous element in ; then . An element is -prime to if at least one component of is -prime to . Therefore, is not -prime to if each component of is not -prime to . We denote by the set of all elements in that are not -prime to . We define to be - primal if the set (if ) or (if ) forms a graded ideal of . In the work by Jaber, 2016, the author studied the generalization of primal superideals over a commutative super-ring with unity. In this paper we generalize the work by Jaber, 2016, to the graded case and we study more properties about this generalization.

Suggested Citation

  • Ameer Jaber, 2017. "Properties of -Primal Graded Ideals," Journal of Mathematics, Hindawi, vol. 2017, pages 1-8, June.
    • Handle: RePEc:hin:jjmath:3817479
    DOI: 10.1155/2017/3817479
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