LEADER 03026nam 2200577 450 001 996466629003316 005 20220908143457.0 010 $a3-540-46159-0 024 7 $a10.1007/BFb0084570 035 $a(CKB)1000000000437435 035 $a(SSID)ssj0000321938 035 $a(PQKBManifestationID)12116360 035 $a(PQKBTitleCode)TC0000321938 035 $a(PQKBWorkID)10280100 035 $a(PQKB)10763656 035 $a(DE-He213)978-3-540-46159-3 035 $a(MiAaPQ)EBC5585049 035 $a(Au-PeEL)EBL5585049 035 $a(OCoLC)1066190824 035 $a(MiAaPQ)EBC6842248 035 $a(Au-PeEL)EBL6842248 035 $a(PPN)155201557 035 $a(EXLCZ)991000000000437435 100 $a20220908d1989 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aCommutative coherent rings /$fSarah Glaz 205 $a1st ed. 1989. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1989] 210 4$dİ1989 215 $a1 online resource (XI, 347 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1371 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-51115-6 327 $aPreliminaries -- to coherence -- Fundamental concepts -- Ring extensions -- Ring constructions and overrings -- Particular coherent rings -- Polynomial rings -- Coherent algebras. 330 $aThis book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. The book covers most results in commutative coherent ring theory known to date, as well as a number of results never published before. Starting with elementary results, the book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings. The subject of coherence is brought to the frontiers of research, exposing the open problems in the field. Most topics are treated in their fully generality, deriving the results on coherent rings as conclusions of the general theory. Thus, the book develops many of the tools of modern research in commutative algebra with a variety of examples and counterexamples. Although the book is essentially self-contained, basic knowledge of commutative and homological algebra is recommended. It addresses graduate students and researchers. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1371 606 $aCommutative rings 615 0$aCommutative rings. 676 $a512.66 700 $aGlaz$b Sarah$f1947-$0441129 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466629003316 996 $aCommutative coherent rings$978583 997 $aUNISA