대한수학회지 (Journal of the Korean Mathematical Society)

  • 제55권1호
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  • Pages.83-99
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  • 2018
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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FACTORIZATION IN MODULES AND SPLITTING MULTIPLICATIVELY CLOSED SUBSETS

  • Nikseresht, Ashkan (Department of Mathematics Institute for Advanced Studies in Basic Sciences)
  • 투고 : 2016.12.29
  • 심사 : 2017.06.01
  • 발행 : 2018.01.01
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초록

We introduce the concept of multiplicatively closed subsets of a commutative ring R which split an R-module M and study factorization properties of elements of M with respect to such a set. Also we demonstrate how one can utilize this concept to investigate factorization properties of R and deduce some Nagata type theorems relating factorization properties of R to those of its localizations, when R is an integral domain.

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참고문헌

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