t-Class semigroups of Noetherian domains

Details t-Class semigroups of Noetherian domains t-Class semigroups of Noetherian domains

2008-11-28

arxiv.org/abs/0811.4693v1

Mathematics

Commutative Algebra

9 pages. To appear in Commutative Algebra and Applications, Walter de Gruyter, Berlin, Germany, 2009

Scientific paper

The t-class semigroup of an integral domain is the semigroup of fractional
t-ideals modulo its subsemigroup of nonzero principal ideals with the operation
induced by ideal t-multiplication. This paper investigates ring-theoretic
properties of a Noetherian domain that reflect reciprocally in the Clifford or
Boolean property of its t-class semigroup.

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