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221107 ||| eng |
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|a 9783031098987
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|a Benhissi, Ali
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|a Chain Conditions in Commutative Rings
|h Elektronische Ressource
|c by Ali Benhissi
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| 250 |
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|a 1st ed. 2022
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2022, 2022
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| 300 |
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|a XI, 522 p. 31 illus
|b online resource
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|a - Preface -- S-Noetherian Modules and Rings -- S-Artininian Rings and Modules -- Almost Principal Polynomial Rings -- The SFT and t-SFT rings -- Nonnil-Noetherian Rings -- Strongly Hopfian, Endo-Noetherian and Isonoetherian Rings -- Index
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| 653 |
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|a Commutative algebra
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| 653 |
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|a Commutative Rings and Algebras
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| 653 |
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|a Sequences, Series, Summability
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| 653 |
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|a Algebraic fields
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| 653 |
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|a Field Theory and Polynomials
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| 653 |
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|a Algebra
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| 653 |
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|a Commutative rings
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| 653 |
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|a Order, Lattices, Ordered Algebraic Structures
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| 653 |
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|a Sequences (Mathematics)
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| 653 |
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|a Polynomials
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 028 |
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|a 10.1007/978-3-031-09898-7
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| 856 |
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|u https://doi.org/10.1007/978-3-031-09898-7?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 512.44
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| 520 |
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|a This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. The topics covered include S-Noetherian, S-Artinian, Nonnil-Noetherian, and Strongly Hopfian properties on commutative rings and their transfer to extensions such as polynomial and power series rings, and more. Though primarily intended for readers with a background in commutative rings, modules, polynomials and power series extension rings, the book can also be used as a reference guide to support graduate-level algebra courses, or as a starting point for further research
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