Modules over commutative regular rings / by R.S. Pierce.

Format:

Book

Author/Creator:

Pierce, Richard S., author.

Series:

Memoirs of the American Mathematical Society ; no. 70.

Memoirs of the American Mathematical Society ; number 70

Language:

English

Subjects (All):

Commutative rings.

Physical Description:

1 online resource (116 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 1967.

Language Note:

English

Contents:

""Contents""; ""Part I. The Representation Theory""; ""1. Subdirect representations of modules""; ""2. The decomposition space of a ring""; ""3. Sheaves""; ""4. Reduced ringed spaces""; ""5. The isomorphism theorem""; ""6. Functorial properties of ringed spaces""; ""7. Functorial properties of sheaves of modules""; ""8. The adjoint functor theorem""; ""9. Change of ring""; ""10. Regular ringed spaces""; ""11. Biregular rings""; ""12. m-Rings""; ""Part II. Modules Over Commutative Regular Rings""; ""13. The dimension function""; ""14. Cyclic modules""; ""15. Projective modules""

""16. The Grothendieck group""""17. Direct sums of cyclic sheaves""; ""18. The refinement theorem""; ""19. Torsion and torsion-free modules""; ""20. Decomposition of torsion free modules""; ""21. The decomposition problem""; ""22. The torsion subsheaf""; ""23. Injective modules""; ""24. Self-infective rings""; ""25. Questions and conjectures""

Notes:

Cover title.

Bibliography: pages 111-112.

Description based on print version record.

ISBN:

1-4704-0018-9