a course in ring theory

Ring theory
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    Tsit-Yuen Lam, A first course in noncommutative rings. Second edition. Graduate Texts in Mathematics, Springer-Verlag, New York, Tsit-Yuen Lam, Lectures on modules and rings.

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    First published in , this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of projective and. Sep 28, First published in , this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of.

    Skickas inom vardagar. First published in , this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of projective and injective modules, the author touches upon various aspects of commutative and noncommutative ring theory. In particular, a number of major results are highlighted and proved.

    Lecture 2 - Review of Ring Theory (Continued)

    The first part of the book, called "Projective Modules", begins with basic module theory and then proceeds to surveying various special classes of rings Wedderburn, Artinian and Noetherian rings, hereditary rings, Dedekind domains, etc. This part concludes with an introduction and discussion of the concepts of the projective dimension. Part II, "Polynomial Rings", studies these rings in a mildly noncommutative setting.

    A Course in Ring Theory (AMS Chelsea Publishing)

    Some of the results proved include the Hilbert Syzygy Theorem in the commutative case and the Hilbert Nullstellensatz for almost commutative rings. Part III, "Injective Modules", includes, in particular, various notions of the ring of quotients, the Goldie Theorems, and the characterization of the injective modules over Noetherian rings.

    The book contains numerous exercises and a list of suggested additional reading.