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010   $a3-031-88878-2
024 7 $a10.1007/978-3-031-88878-6
035   $a(CKB)38776241000041
035   $a(DE-He213)978-3-031-88878-6
035   $a(MiAaPQ)EBC32111102
035   $a(Au-PeEL)EBL32111102
035   $a(OCoLC)1524421193
035   $a(PPN)285241842
035   $a(EXLCZ)9938776241000041
100   $a20250514d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIdeal Theory of Commutative Rings and Monoids /$fby Franz Halter-Koch ; edited by Alfred Geroldinger, Andreas Reinhart
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (X, 282 p. 1 illus.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2368
311 08$a3-031-88877-4 
327   $a- 1. Basic Monoid Theory -- 2. The Formalism of Module and Ideal Systems -- 3. Prime and Primary Ideals and Noetherian Conditions -- 4. Invertibility, Cancellation and Integrality -- 5. Arithmetic of Cancellative Mori Monoids -- 6. Ideal Theory of Polynomial Rings.
330   $aThis book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are not limited to, Mori monoids, Laskerian monoids, Prüfer monoids and Krull monoids. An in-depth study of various constructions from ring theory is also provided, with an emphasis on polynomial rings, Kronecker function rings and Nagata rings. The target audience is graduate students and researchers in ring and semigroup theory.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2368
606   $aCommutative algebra
606   $aCommutative rings
606   $aGroup theory
606   $aCommutative Rings and Algebras
606   $aGroup Theory and Generalizations
606   $aAnells commutatius$2thub
606   $aMonoides$2thub
608   $aLlibres electrònics$2thub
615  0$aCommutative algebra.
615  0$aCommutative rings.
615  0$aGroup theory.
615 14$aCommutative Rings and Algebras.
615 24$aGroup Theory and Generalizations.
615  7$aAnells commutatius
615  7$aMonoides
676   $a512.44
700   $aHalter-Koch$b Franz$f1944-2023$4aut$4http://id.loc.gov/vocabulary/relators/aut$01848507
702   $aGeroldinger$b Alfred$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aReinhart$b Andreas$c(Researcher)$4edt$4http://id.loc.gov/vocabulary/relators/edt
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996660358203316
996   $aIdeal Theory of Commutative Rings and Monoids$94435566
997   $aUNISA