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- W2609218234 abstract "It has been shown by McCoy that a right ideal of a polynomial ring with several indeterminates has a non-trivial homogeneous right annihilator of degree 0 provided its right annihilator is non-trivial to begin with. In this note, it is shown that any N^k-graded ring R has a slightly weaker property: any non-trivial annihilator of an right ideal contains a homogeneous non-zero element. If R is a subring of a strongly Z^k-graded ring then it is possible to find annihilators of degree 0. This generalises McCoy's results on polynomial rings, and puts them into the framework of graded algebra." @default.
- W2609218234 created "2017-05-05" @default.
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- W2609218234 date "2017-03-06" @default.
- W2609218234 modified "2023-09-27" @default.
- W2609218234 title "Annihilators in N^k-graded and Z^k-graded rings" @default.
- W2609218234 hasPublicationYear "2017" @default.
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