000 01696nam a2200253Ia 4500
003 OSt
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020 _a9781944659936
040 _aNISER LIBRARY
_cNISER LIBRARY
041 _aEnglish
082 _a512.71
_bSIN-B
100 _aSingh, Balwant
245 _aBasic commutative algebra
260 _aSingapore:
_bWorld Scientific,
_c2022
300 _axiv, 390p.
_bPbk.
504 _aContents: Rings and Ideals Modules and Algebras Polynomial and Power Series Rings Homological Tools I Tensor, Symmetric and Exterior Algebras Finiteness Conditions Primary Decomposition Filtrations and Completions Numerical Functions Principal Ideal Theorem Integral Extensions Normal Domains Transcendental Extensions Affine Algebras Derivations and Differentials Valuation Rings and Valuations Homological Tools II Homological Dimensions Depth Regular Rings Divisor Class Groups
520 _aThis textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained. The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.
650 _aCOMMUTATIVE ALGEBRA
650 _aHOMOLOGICAL DIMENSIONS
650 _aMODULES AND ALGEBRA
650 _aRINGS
942 _cN
_2udc
999 _c34296
_d34296