JP Journal of Algebra, Number Theory and Applications
Volume 15, Issue 1, Pages 65 - 71
(October 2009)
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DIRECT SUM DECOMPOSITIONS OF ARTIN RINGS
Dongming Cheng (P. R. China)
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Abstract: Let L be an artin ring and P
be an indecomposable projective left L-module. If we regard L as a left L-module, then the multiplicity of
P in the direct sum
decomposition of L equals to the dimension of corresponding simple module
S as a vector space over a division
ring. |
Keywords and phrases: artin ring, multiplicity, dimension. |
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