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024 7 $a10.1007/978-3-030-54943-5
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035   $a(DE-He213)978-3-030-54943-5
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100   $a20210302d2020      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNumerical semigroups and applications /$fAbdallah Assi, Pedro A. Garci?a-Sa?nchez, Marco D'Anna
205   $aSecond edition.
210  1$aCham, Switzerland :$cSpringer,$d[2020]
210  4$d©2020
215   $a1 online resource (XIV, 138 p. 8 illus.) 
225 0 $aRSME Springer Series ;$vVolume 3
311   $a3-030-54942-9 
327   $a1 Numerical semigroups, the basics -- 2 Irreducible numerical semigroups -- 3 Ideals -- 4 Semigroup of an irreducible meromorphic series -- 5 Minimal presentations -- 6 Factorizations and divisibility.
330   $aThis book is an extended and revised version of "Numerical Semigroups with Applications," published by Springer as part of the RSME series. Like the first edition, it presents applications of numerical semigroups in Algebraic Geometry, Number Theory and Coding Theory. It starts by discussing the basic notions related to numerical semigroups and those needed to understand semigroups associated with irreducible meromorphic series. It then derives a series of applications in curves and factorization invariants. A new chapter is included, which offers a detailed review of ideals for numerical semigroups. Based on this new chapter, descriptions of the module of Kähler differentials for an algebroid curve and for a polynomial curve are provided. Moreover, the concept of tame degree has been included, and is viewed in relation to other factorization invariants appearing in the first edition. This content highlights new applications of numerical semigroups and their ideals, following in the spirit of the first edition.
410  0$aRSME Springer Series,$x2509-8888 ;$v3
606   $aComputer science$xMathematics
615  0$aComputer science$xMathematics.
676   $a004.0151
700   $aAssi$b Abdallah$0756018
702   $aGarci?a-Sa?nchez$b Pedro A.
702   $aD'Anna$b Marco
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418187303316
996   $aNumerical Semigroups and Applications$92222467
997   $aUNISA