Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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STRONG P-CLEANNESS OF TRIVIAL MORITA CONTEXTS

  • Received : 2018.08.26
  • Accepted : 2018.12.05
  • Published : 2019.10.31
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Abstract

Let R be a ring with identity and P(R) denote the prime radical of R. An element r of a ring R is called strongly P-clean, if there exists an idempotent e such that $r-e=p{\in}P$(R) with ep = pe. In this paper, we determine necessary and sufficient conditions for an element of a trivial Morita context to be strongly P-clean.

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References

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