Geodesic
On the Wedderburn Theorem
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 525-530

Voir la notice de l'article provenant de la source Cambridge University Press

In [6], Pierce studied the modules over a commutative regular ring R by using the representation of R as the global sections of a sheaf which we call the Pierce sheaf. When the stalks of the Pierce sheaf are regular, Magid gave a Galois theory and some properties for a central separable R-algebra [4, (2.4), (2.5), (2.6) and (2.7)]. When the stalks of the Pierce sheaf are semi-local, DeMeyer presented a Galois theory for a central separable R-algebra [3, sections 2 and 3] and the author characterized the finitely generated and projective modules over a central separable R-algebra in terms of the R-modules in [7] and [8]. 
Szeto, George. On the Wedderburn Theorem. Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 525-530. doi: 10.4153/CJM-1973-053-x
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[1] 1. Auslander, M. and Goldman, O., The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. Google Scholar

[2] 2. DeMeyer, F., Projective modules over central separable algebras, Can. J. Math. 21 (1969), 39–43. Google Scholar

[3] 3. DeMeyer, F., Automorphisms of separable algebras. II, Pacific J. Math. 32 (1970), 621–631. Google Scholar

[4] 4. Magid, A., Pierce's representation and separable algebras, Illinois J. Math. 15 (1971), 114–121. Google Scholar

[5] 5. Magid, A., Locally Galois algebras, Pacific J. Math. 33 (1970), 707–724. Google Scholar

[6] 6. Pierce, R., Modules over commutative regular rings, Mem. Amer. Math. Soc. 70 (1967). Google Scholar

[7] 7. Szeto, G., On a class of projective modules over central separable algebras, Can. Math. Bull. 14 (1971), 415–417. Google Scholar

[8] 8. Szeto, G., On a class of projective modules over central separable algebras. II, Can. Math. Bull. 15 (1972), 411–416. Google Scholar

[9] 9. Zelinsky, D. and Villamayor, O., Galois theory for rings with infinitely many idempotents, Nagoya Math. J. 35 (1969), 83–98. Google Scholar

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