Titlebook: Rings and Categories of Modules; Frank W. Anderson,Kent R. Fuller Textbook 1992Latest edition Springer-Verlag New York, Inc. 1992 algebra.

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镇压

Direct Sums and Products,ion about . by mining .. So in this chapter we start to probe more deeply into the structure of the modules themselves. In so far as possible we propose to do this in the context of the category . for in this way at any subsequent stage we shall be able to apply the general machinery of category theory.

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Classical Ring-Structure Theorems,ful left module. In Section 14 we study rings characterized by this latter property—the “(left) primitive” rings. Here we prove Jacobson’s important generalization of the semisimple case characterizing left primitive rings as “dense rings” of linear transformations.

典型

Textbook 1992Latest editionfor introductory and more advanced graduate courses. We assume the famil­ iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-side

平项山

Direct Sums and Products,, in general, . does not characterize .. However, as we shall see in Chapter 6 it does come close. Thus, we can expect to uncover substantial information about . by mining .. So in this chapter we start to probe more deeply into the structure of the modules themselves. In so far as possible we propo

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