PRIME IDEALS OF SUBRINGS OF MATRIX RINGS

Title & Authors
PRIME IDEALS OF SUBRINGS OF MATRIX RINGS
Chun, Jang-Ho; Park, Jung-Won;

Abstract
In a ring $\small{R_n(K,\;J)}$ where K is a commutative ring with identity and J is an ideal of K, all prime ideals of $\small{R_n(K,\;J)}$ are of the form either $\small{M_n(P)\;o;R_n(P,\;P\;{\cap}\;J)}$. Therefore there is a one to one correspondence between prime ideals of K not containing J and prime ideals of $\small{R_n(K,\;J)}$
Keywords
ideals;prime ideals.;
Language
English
Cited by
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