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On the structure of finite rings. (English) Zbl 0248.16009


MSC:

16P10 Finite rings and finite-dimensional associative algebras
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
11T30 Structure theory for finite fields and commutative rings (number-theoretic aspects)
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References:

[1] Charles W. Curtis and Irving Reiner [1] Representation theory of finite groups and associative algebras . (Interscience 1962). · Zbl 0131.25601
[2] L. Fuchs [2] Ringe und ihre additive Gruppe . Publ. Math. Debrecen 4 (1956), 488-508. · Zbl 0070.26502
[3] E. Hecke [3] Vorlesungen über algebraische Zahlentheorie . (Chelsea 1948). · Zbl 0041.01102
[4] Nathan Jacobson [4] Structure of rings . (Amer. Math. Soc. Colloq. Publ. XXXVII 1964). · Zbl 0073.02002
[5] R. Raghavendran [5] Finite associative rings . Compositio Math. 21 (1969), 195-229. · Zbl 0179.33602
[6] T. Szele [6] Nilpotent Artinian rings . Publ. Math. Debrecen 4 (1955), 71-78. · Zbl 0064.26404
[7] Oscar Zariski and Pierre Samuel [7] Commutative algebra (Van Nostrand 1959). · Zbl 0081.26501
[8] Nathan Jacobson [8] Lectures on abstract algebra , Vol. III (Van Nostrand, 1964). · Zbl 0053.21204
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