A Note on Pseudo Primary Rings
Received:June 28, 1993  
Key Word: primary ideal   commutative ring.  
Fund ProjectL:Project Supported by the Natural Science Foundation of Liaoning Province.
Author NameAffiliation
Dong Xuedong Dept. of Math.
Liaoning Normal Univ.Dalian 116022 
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      A commutative ring with identity R is called a pseudo primary ring if eachnon-zero ideal of R is a power of a primary ideal. In this note we prove that a ring Ris a pseudo primary ring if and only if R is a primary ring or R is a direct sum of twofields or R is a one-dimensional local ring with at most three prime ideals in which eachnon-zero ideal is a power of a minimal prime ideal or is a power of some primary idealbelonging to the maximal ideal.
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