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ISBN: 9814397687 9789814397681 9814397679 9789814397674 Year: 2012 Publisher: Toh Tuck Link, Singapore : World Scientific,
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The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Köthe's conjecture; the study of nil rings and Jacobson rings; the study of applying r
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Year: 1965 Publisher: Mannheim: Bibliographisches Institut,
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Year: 1964 Publisher: New York (N.Y.): MacMillan,
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Year: 1968 Publisher: Providence (R.I.): American mathematical society,
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Year: 1966 Publisher: Roma: Cremonese,
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Year: 1969 Publisher: New York (N.Y.): Gordon and Breach,
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Year: 1969 Publisher: Chicago: University of Chicago press,
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ISBN: 0828402663 Year: 1973 Publisher: New York (N.Y.) : Macmillan,
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Year: 1965 Publisher: Montreal : McGill university press,
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ISBN: 3110659158 3110659824 Year: 2019 Publisher: Berlin ; Boston : De Gruyter,
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This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.
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