Principle ring：Principal Ring

Principal Ring

PrincipalRing...,anyfield,andanypolynomialringinonevariableoverafield.WhileallEuclideanringsareprincipalrings,theconverseisnottrue.。其他文章還包含有：「Principalidealring」、「PrincipleRing|Silver」、「Principalidealdomain」、「Principalideal」、「PrincipalIdeal」、「中級Ring的性質」、「Principalidealring」

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Principal ideal ring

https://en.wikipedia.org

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 ...

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Principle Ring|Silver

https://www.cadis.world

Principle Ring|Silver · 925 sterling silver · SIZE：1.7 cm (diameter)/ 1.4 cm (thick) (Slightly adjustable ring size) · One Piece.

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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 ...

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Principal ideal

https://en.wikipedia.org

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 ...

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Principal Ideal

https://mathworld.wolfram.com

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 ...

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