# PRIME IDEALS OF SUBRINGS OF MATRIX RINGS

• Published : 2004.04.01
• 46 3

#### Abstract

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

#### Keywords

ideals;prime ideals.

#### References

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