Monomial Ideals and Their Decompositions

“The present book is thought as a gentle introduction to monomial ideals … . All the chapters contain exercises and Macaulay 2 material for the computational exploration of the presented notions.” (Christos Tatakis, zbMATH 1476.13002, 2022)

“Primarily directed at advanced undergraduates, the text is also a valuable resource for graduate students and researchers who wish to learn more about the subject, providing an introduction to active research topics in combinatorial commutative algebra and its applications. … the authors' presentation of monomial decompositions and their applications is an exciting, enlightening read and will serve an individual reader or class instructor well.” (Timothy B. P. Clark, Mathematical Reviews, October, 2019)

“Each definition includes examples of reasonably common structures … . This style makes the text accessible to advanced undergraduates. … it will be useful to those who work in symbolic computation and theory.” (Paul Cull, Computing Reviews, May 13, 2019)