03249nam 22006015 450 991106610460332120260222120350.03-032-05424-910.1007/978-3-032-05424-1(MiAaPQ)EBC32556578(Au-PeEL)EBL32556578(CKB)45402335200041(OCoLC)1574806180(DE-He213)978-3-032-05424-1(EXLCZ)994540233520004120260222d2026 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNumerical Semigroups A Commutative Algebra Approach /by Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi1st ed. 2026.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2026.1 online resource (408 pages)Compact Textbooks in Mathematics,2296-455X3-032-05423-0 Basic commutative algebra -- Homological methods (on graded structures) -- Cohen-Macaulay modules and the canonical module -- Numerical semigroups and their relations -- Pseudo-Frobenius numbers via minimal graded free resolutions -- Almost symmetric and nearly symmetric numerical semigroups.This book offers an exploration of the rich interplay between numerical semigroups and commutative algebra. It fills a notable gap in the literature by bridging numerical semigroup theory with advanced algebraic methods. The book is structured to support both self-study and advanced coursework, and it is divided into two major parts. The first three chapters lay the algebraic groundwork for later applications to numerical semigroups. They introduce readers to foundational topics in commutative algebra, homological methods, Cohen–Macaulay and canonical modules—all with a focus on the graded structures that arise naturally in semigroup rings. Building on the first three chapters, Chapters 4-6 lead to deep results connecting semigroup properties and invariants to algebraic properties and homological data of semigroup rings. Throughout, the exposition is enriched with illustrative examples, detailed proofs, and exercises to reinforce understanding. The book is designed for graduate students in mathematics as well as researchers in algebra, number theory, and combinatorics.Compact Textbooks in Mathematics,2296-455XCommutative algebraCommutative ringsAlgebra, HomologicalComputer softwareCommutative Rings and AlgebrasCategory Theory, Homological AlgebraMathematical SoftwareCommutative algebra.Commutative rings.Algebra, Homological.Computer software.Commutative Rings and Algebras.Category Theory, Homological Algebra.Mathematical Software.512.44Herzog Jürgen732133MiAaPQMiAaPQMiAaPQBOOK9911066104603321Numerical Semigroups4548186UNINA