Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Subdirect sums of rings

Author(s): Neal H. McCoy
Journal: Bull. Amer. Math. Soc. 53 (1947), 856-877.
MathSciNet review: 0021543
Retrieve article in: PDF

References | Additional information

References:

1.
R. Baer, Radical ideals, Amer. J. Math. vol. 65 (1943) pp. 537-568. MR 9019
2.
G. Birkhoff, Subdirect unions in universal algebra, Bull. Amer. Math. Soc. vol. 50 (1944) pp. 764-768. MR 10542
3.
B. Brown and N. H. McCoy, Radicals and subdirect sums, Amer. J. Math. vol. 69 (1947) pp. 46-58. MR 19594
4.
A. Forsythe and N. H. McCoy, On the commutativity of certain rings, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 523-526. MR 16093
5.
O. Goldman, A characterization of semi-simple rings with the descending chain condition, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 1021-1027. MR 19592
6.
O. Goldman, Semi-simple extensions of rings, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 1028-1032. MR 19593
7.
N. Jacobson, Structure theory of simple rings without finiteness assumptions, Trans. Amer. Math. Soc. vol. 57 (1945) pp. 228-245. MR 11680
8.
N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. vol. 67 (1945) pp. 300-320. MR 12271
9.
N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. vol. 46 (1945) pp. 695-707. MR 14083
10.
R. E. Johnson and F. L. Kiokemeister, The endomorphisms of the total operator domain of an infinite module, to appear in Trans. Amer. Math. Soc. MR 23811
11.
G. Köthe, Abstrakte Theorie nichkommutativer Ringe mit einer Anwendung auf die Darstellungstheorie kontinuierlicher Gruppen, Math. Ann. vol. 103 (1930) pp. 545-572. MR 1512637
12.
G. Köthe, Ein Beitrag zur Theorie der kommutativen Ringe ohne Endlichkeitsbedingung, Nachr. Ges. Wiss. Göttingen (1930) pp. 195-207.
13.
G. Köthe, Die Theorie der Verbände, Jber. Deutschen Math. Verein. vol. 47 (1937) pp. 125-144.
14.
W. Krull, Idealtheorie in Ringen ohne Endlichkeitsbedingung, Math. Ann. vol. 101 (1929) pp. 729-744. MR 1512564
15.
W. Krull, Idealtheorie, Berlin, 1935.
16.
W. Krull, Ein Satz über primäre Integritätsbereiche, Math. Ann. vol. 103 (1930) pp. 450-465. MR 1512631
17.
N. H. McCoy and D. Montgomery, A representation of generalized Boolean rings, Duke Math. J. vol. 3 (1937) pp. 455-459. MR 1546001
18.
N. H. McCoy, Subrings of direct sums, Amer. J. Math. vol. 60 (1938) pp. 374-382. MR 1507320
19.
N. H. McCoy, Subrings of infinite direct sums, Duke Math. J. vol. 4 (1938) pp. 486-494. MR 1546070
20.
N. H. McCoy, Generalized regular rings, Bull. Amer. Math. Soc. vol. 45 (1939) pp. 175-178.
21.
N. H. McCoy, Subdirectly irreducible commutative rings, Duke Math. J. vol. 12 (1945) pp. 381-387. MR 12266
22.
G. C. Moisil, Sur les anneaux de caractéristique 2 ou 3 et leurs applications, Bulletin de Mathématiques et de Physique pures et Appliquées vol. 12 (1941) pp. 66-90. MR 13136
23.
S. Perlis, A characterization of the radical of an algebra, Bull. Amer. Math. Soc. vol. 48 (1942) pp. 128-132. MR 6158
24.
H. Prüfer, Neue Begründung der algebraischen Zahlentheorie, Math. Ann. vol. 94 (1925) pp. 198-243. MR 1512254
25.
I. E. Segal, The group algebra of a locally compact group, Trans. Amer. Math. Soc. vol. 61 (1947) pp. 69-105. MR 19617
26.
M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 37-111. MR 1501865
27.
J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. U. S. A. vol. 22 (1936) pp. 707-713.
28.
J. von Neumann, Continuous geometry, Princeton University Lectures, 1936-1937 (Planographed). MR 1619428
29.
L. I. Wade, Post algebras and rings, Duke Math. J. vol. 12 (1945) pp. 389-395. MR 12265


Additional Information:

DOI: 10.1090/S0002-9904-1947-08867-4
PII: S 0002-9904(1947)08867-4




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia