Generalized transforms of graded Strong Mori domains

초록

Let Gamma be a torsion-free cancellative monoid and let R=circle plus R-alpha is an element of Gamma (alpha) be a graded integral domain. In this paper, we show that if R is a graded Strong Mori domain, then every homogeneously t-linked overring of R contained in R-hwg is a graded Strong Mori domain, where R(hwg )is the homogeneous w-global transform of R; and if R is a graded Strong Mori domain, then R-(sic) is also a graded Strong Mori domain, where (sic) is a multiplicative set of ideals of R generated by homogeneous ideals of R.

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