Abstract
In this chapter we will discuss a profound connection between commutative rings and some combinatorial properties of simplicial complexes. The deepest and most interesting results in this area require a background in algebraic topology and homological algebra beyond the scope of this book.
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Notes
- 1.
Since we have (x − 1)0 = 1 in the term indexed by i = d on the left-hand side of (12.5), we need to interpret 00 = 1 when we set x = 1. Although 00 is an indeterminate form in calculus, in combinatorics it usually makes sense to set 00 = 1.
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Stanley, R.P. (2018). A Glimpse of Combinatorial Commutative Algebra. In: Algebraic Combinatorics. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-77173-1_12
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