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Representations of Rings with Faithful Monoform Modules
Author(s) -
Zelmanowitz J. M.
Publication year - 1984
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-29.2.237
Subject(s) - mathematics , artinian ring , pure mathematics , simple (philosophy) , ring (chemistry) , quotient , simple module , noncommutative ring , algebra over a field , discrete mathematics , philosophy , chemistry , noetherian , organic chemistry , epistemology
Rings which possess faithful monoform modules can be regarded, in a generalized sense, as dense rings of linear transformations. In the finite dimensional setting these turn out to be precisely the rings which have a simple artinian maximal ring of quotients. The general situation resembles the finite dimensional case locally.