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024 7 $a10.1007/978-3-032-05424-1
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035   $a(CKB)45402335200041
035   $a(OCoLC)1574806180
035   $a(DE-He213)978-3-032-05424-1
035   $a(EXLCZ)9945402335200041
100   $a20260222d2026      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNumerical Semigroups $eA Commutative Algebra Approach /$fby Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi
205   $a1st ed. 2026.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2026.
215   $a1 online resource (408 pages)
225 1 $aCompact Textbooks in Mathematics,$x2296-455X
311 08$a3-032-05423-0 
327   $aBasic 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.
330   $aThis book offers an exploration of the rich interplay between numerical semigroups and commutative algebra. It fills a notable gap in the literature by bridging numerical semigroup theory with advanced algebraic methods. The book is structured to support both self-study and advanced coursework, and it is divided into two major parts. The first three chapters lay the algebraic groundwork for later applications to numerical semigroups. They introduce readers to foundational topics in commutative algebra, homological methods, Cohen?Macaulay and canonical modules?all with a focus on the graded structures that arise naturally in semigroup rings. Building on the first three chapters, Chapters 4-6 lead to deep results connecting semigroup properties and invariants to algebraic properties and homological data of semigroup rings. Throughout, the exposition is enriched with illustrative examples, detailed proofs, and exercises to reinforce understanding. The book is designed for graduate students in mathematics as well as researchers in algebra, number theory, and combinatorics.
410  0$aCompact Textbooks in Mathematics,$x2296-455X
606   $aCommutative algebra
606   $aCommutative rings
606   $aAlgebra, Homological
606   $aComputer software
606   $aCommutative Rings and Algebras
606   $aCategory Theory, Homological Algebra
606   $aMathematical Software
615  0$aCommutative algebra.
615  0$aCommutative rings.
615  0$aAlgebra, Homological.
615  0$aComputer software.
615 14$aCommutative Rings and Algebras.
615 24$aCategory Theory, Homological Algebra.
615 24$aMathematical Software.
676   $a512.44
700   $aHerzog$b Jürgen$0732133
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911066104603321
996   $aNumerical Semigroups$94548186
997   $aUNINA