principal ideal ring


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principal ideal ring

[¦prin·sə·pəl i¦del ‚riŋ]
(mathematics)
A commutative ring with a unit element in which every ideal is a principal ideal.
References in periodicals archive ?
The element g is called a generator of I and I is said to be generated by A ring R is called a left (right) principal ideal ring if every left (right) ideal of R is principal.
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