This quantity includes the lawsuits of the Exploratory Workshop on Combinatorial Commutative Algebra and desktop Algebra, which happened in Mangalia, Romania on may possibly 29-31, 2008. It contains study papers and surveys reflecting the various present tendencies within the improvement of combinatorial commutative algebra and similar fields. This quantity specializes in the presentation of the latest learn leads to minimum resolutions of polynomial beliefs (combinatorial recommendations and applications), Stanley-Reisner concept and Alexander duality, and functions of commutative algebra and of combinatorial and computational strategies in algebraic geometry and topology. either the algebraic and combinatorial views are good represented and a few open difficulties within the above instructions were incorporated.

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