Homogeneously t-linked extensions in graded integral domains

초록

Let Gamma be a torsion-free cancellative commutative monoid, T = circle plus(alpha is an element of Gamma) T-alpha a graded integral domain and R = circle plus(alpha is an element of Gamma)(R boolean AND T alpha) a graded subring of T. Then we say that T is homogeneously t -linked over R if for any nonzero finitely generated homogeneous ideal I of R such that I-1 = R, (IT )(-1) = T. In this paper, we introduce some examples of homogeneously t-linked extensions and offer some equivalent conditions for homogeneously t-linked extensions. More precisely, we provide some equivalent conditions such that every graded subring of T containing R is homogeneously t-linked over R; and offer some new characterizations of graded Krull domains.

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