Pierce, R.S. <br/><br/>
Modules over Commutative Regular Rings. 

 - 1st ed. 
 - 1 online resource (116 pages) 
 - Memoirs of the American Mathematical Society ;  v.1 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- 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. 
<br/><br/><label>ISBN: </label>9781470400187 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Commutative rings.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA251.3.P54 1967