TY - BOOK AU - Klingler,Lee AU - Vassilev,Janet C. AU - Francisco,Christopher AU - Sather-Wagstaff,Sean TI - Progress in Commutative Algebra 1: Combinatorics and Homology SN - 9783110250404 PB - De Gruyter KW - Mathematics KW - bisacsh KW - Electronic books N1 - Access copy available to the general public N2 - This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. UR - https://openresearchlibrary.org/content/b3e2eee2-793c-4533-a3ab-9bcf46e8d3df ER -