Mathematical Proceedings of the Cambridge Philosophical Society · 2013 · 54 citations · 11 references
Natural SciencesPhilosophyAlgebraRepresentation TheoryAbstract AlgebraArithmetic GeometryCommutative AlgebraModule SystemsCohen-macaulay RingsGraded RingsIdeal TheoryResolutionsSemigroup Theory
Abstract In this paper we study Ulrich ideals of and Ulrich modules over Cohen--Macaulay local rings from various points of view. We determine the structure of minimal free resolutions of Ulrich modules and their associated graded modules, and classify Ulrich ideals of numerical semigroup rings and rings of finite CM-representation type.
11
Shirô Gotô, Kei-ichi Watanabe · Journal of the Mathematical Society of Japan · 1978 · 387 citations · Full text
Form rings and regular sequences
Paolo Valabrega, Giuseppe Valla · Nagoya Mathematical Journal · 1978 · 225 citations · Full text
Cohen-Macaulay local rings of maximal embedding dimension
Judith D. Sally · Journal of Algebra · 1979 · 127 citations