Lectures on rings and modules

著者

• Lambek, Joachim

書誌事項

Lectures on rings and modules

Joachim Lambek

Chelsea Pub. Co., 1986

3rd ed

注記

Bibliography: p. 173-180

Includes index

内容説明・目次

目次

Fundamental Concepts of Algebra: 1.1 Rings and related algebraic systems 1.2 Subrings, homomorphisms, ideals 1.3 Modules, direct products, and direct sums 1.4 Classical isomorphism theorems Selected Topics on Commutative Rings: 2.1 Prime ideals in commutative rings 2.2 Prime ideals in special commutative rings 2.3 The complete ring of quotients of a commutative ring 2.4 Rings of quotients of commutative semiprime rings 2.5 Prime ideal spaces Classical Theory of Associative Rings: 3.1 Primitive rings 3.2 Radicals 3.3 Completely reducible modules 3.4 Completely reducible rings 3.5 Artinian and Noetherian rings 3.6 On lifting idempotents 3.7 Local and semiperfect rings Injectivity and Related Concepts: 4.1 Projective modules 4.2 Injective modules 4.3 The complete ring of quotients 4.4 Rings of endomorphisms of injective modules 4.5 Regular rings of quotients 4.6 Classical rings of quotients 4.7 The Faith-Utumi theorem Introduction to Homological Algebra: 5.1 Tensor products of modules 5.2 Hom and $\otimes$ as functors 5.3 Exact sequences 5.4 Flat modules 5.5 Torsion and extension products Appendixes Comments Bibliography Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA00450656
• ISBN:
  • 0828422834
• LCCN: 75041494
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: viii, 183 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA251.5
  • DC : 512/.4
• 件名:
  • LCSH : Associative rings
  • LCSH : Modules (Algebra)