Principle ring：Principle Ring|Silver

Principal ideal ring

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A local Artinian principal ring is called a special principal ring and has an extremely simple ideal structure: there are only finitely many ideals, each of ...

Principal Ring

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Principal Ring ... , any field, and any polynomial ring in one variable over a field. While all Euclidean rings are principal rings, the converse is not true.

Principal ideal domain

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More generally, a principal ideal ring is a nonzero commutative ring whose ideals are principal, although some authors (e.g., Bourbaki) refer to PIDs as ...

Principal ideal

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A ring in which every ideal is principal is called principal, or a principal ideal ring. A principal ideal domain (PID) is an integral domain in which every ...

Principal Ideal

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An ideal I of a ring R is called principal if there is an element a of R such that I=aR=ar:r in R}. In other words, the ideal is generated by the element a ...

中級Ring 的性質

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我們將探討在這種ring. 中的principle ideal, prime ideal 和maximal ideal. 6.5.1. Principle ideals. 在group 中我們介紹過cyclic subgroup, 它可以是說包. 含某一個元素 ...

Principal ideal ring

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