Self-injective regular algebras and function rings

1. Arens, R. andKaplansky, I.,Topological representations of algebras, Trans. Amer. Math. Soc. 63(1949), 457–481.

   Google Scholar 

2. Carson, A. B.,Rings that are not elementarily equivalent to a function ring, Com. Alg.18 (1990), 4225–4234.

   Google Scholar 

3. Carson, A. B.,Model completions, ring representations and the topology of the pierce sheaf, Pitman Research Notes in Mathematics 209(1989), Longman Scientifical and Technical, Essex.

   Google Scholar 

4. Carson, A. B.,A characterization of rings of twisted functions, MSRI (Berkeley) Preprint 01426-91.

5. Ellerman, D. P.,Sheaves of structures and generalized ultraproducts, Ann. Math. Logic 7(1974), 163–195.

   Google Scholar 

6. Lambek, J.,Lectures on rings and modules, Blaisdell Pub., Waitham, Mass. (1966).

7. Robinson, J.,The undecidability of algebraic rings and fields, Proc. Amer. Math. Soc.10 (1959), 950–975.

   Google Scholar 

8. Robinson, J.,Definability and decision problems in arithmetic, J. Symb. Logic 14(1949), 98–414.

   Google Scholar 

9. Pierce, R. S.,Modules over commutative regular rings, Mem. Amer. Math. Soc.70 (1967).

10. Stone, M. H.,The theory of representations for Boolean algebras, Trans. Amer. Math. Soc.40 (1936), 37–111.

    Google Scholar 

Download references