LEADER 02658nam 2200481 450 001 996418187303316 005 20210302083935.0 010 $a3-030-54943-7 024 7 $a10.1007/978-3-030-54943-5 035 $a(CKB)4100000011479527 035 $a(DE-He213)978-3-030-54943-5 035 $a(MiAaPQ)EBC6362735 035 $a(PPN)258063653 035 $a(EXLCZ)994100000011479527 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 LEADER 02317nas 2200697-a 450 001 996336256403316 005 20230227213019.0 035 $a(DE-599)ZDB2587469-X 035 $a(OCoLC)506337427 035 $a(CKB)1000000000803101 035 $a(CONSER)--2012254634 035 $a(EXLCZ)991000000000803101 100 $a20081121a20099999 --- a 101 0 $aeng 135 $aurmn||||a|||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNeurobehavioral HIV medicine 210 $a[Auckland, N.Z.] $cDove Medical Press$d©2009- 215 $a1 online resource $cillustrations, PDF files 300 $aRefereed/Peer-reviewed 300 $aArchived by the National Library of New Zealand. 311 $a1179-1497 517 3 $aNeurobehavioral Human Immunodeficiency Virus medicine 531 $aNEUROBEHAV HIV MED 531 1 $aNeurobehav. HIV med. 606 $aHIV (Viruses)$vPeriodicals 606 $aHIV infections$vPeriodicals 606 $aHIV infections$xPsychological aspects$vPeriodicals 606 $aNeurobehavioral disorders$vPeriodicals 606 $aHumans 606 $aAcquired Immunodeficiency Syndrome 606 $aNeurobehavioral Manifestations 606 $aNeurology 606 $aHIV infections$2fast$3(OCoLC)fst00949871 606 $aHIV infections$xPsychological aspects$2fast$3(OCoLC)fst00949898 606 $aHIV (Viruses)$2fast$3(OCoLC)fst00949837 606 $aNeurobehavioral disorders$2fast$3(OCoLC)fst01036314 608 $aFulltext. 608 $aInternet Resources. 608 $aPeriodicals. 608 $aPeriodicals.$2fast 610 $aMicrobiology & Immunology 615 0$aHIV (Viruses) 615 0$aHIV infections 615 0$aHIV infections$xPsychological aspects 615 0$aNeurobehavioral disorders 615 02$aHumans. 615 12$aAcquired Immunodeficiency Syndrome. 615 12$aNeurobehavioral Manifestations. 615 12$aNeurology. 615 7$aHIV infections. 615 7$aHIV infections$xPsychological aspects. 615 7$aHIV (Viruses) 615 7$aNeurobehavioral disorders. 676 $a616.979205 906 $aJOURNAL 912 $a996336256403316 996 $aNeurobehavioral HIV medicine$92220628 997 $aUNISA