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- W1569121828 abstract "The arithmetic degree, the smallest extended degree, and the homological degree are invariants that have been proposed as alternatives of the degree of a module if this module is not Cohen-Macaulay. We compare these degree functions and study their behavior when passing to the generic initial or the lexicographic submodule. This leads to various bounds and to counterexamples to a conjecture of Gunston and Vasconcelos, respectively. Particular attention is given to the class of sequentially Cohen-Macaulay modules. The results in this case lead to an algorithm that computes the smallest extended degree." @default.
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- W1569121828 date "2005-12-20" @default.
- W1569121828 modified "2023-09-27" @default.
- W1569121828 title "Extended degree functions and monomial modules" @default.
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- W1569121828 doi "https://doi.org/10.1090/s0002-9947-05-03848-1" @default.
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