A characterization of semi-simple rings with the descending chain condition
نویسندگان
چکیده
منابع مشابه
A Characterization of Semi-simple Rings with the Descending Chain Condition
H. Weyl has defined a semi-simple algebra (of finite rank) to be an algebra which admits a faithful semi-simple linear representation. Now, algebras are rings with a field of operators; Artin and others have shown that the theory of semi-simple algebras can be generalized to a theory of semi-simple rings (without the field of operators) provided we replace the condition of finite rank by suitab...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1946
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1946-08703-0