Breaking up simplicial homology and subadditivity of syzygies
نویسندگان
چکیده
We consider the following question: If a simplicial complex $$\Gamma $$ has d-homology, then does corresponding d-cycle always induce cycles of smaller dimension that are not boundaries? provide an answer to this question in fixed dimension. use breaking homology show subadditivity property for maximal degrees syzygies monomial ideals homological degree.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2021
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-021-01048-4