Category:Principal Ideal Domains
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This category contains results about Principal Ideal Domains.
A principal ideal domain is an integral domain in which every ideal is a principal ideal.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Principal Ideal Domains"
The following 23 pages are in this category, out of 23 total.
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- Polynomial Forms is PID Implies Coefficient Ring is Field
- Polynomial Forms over Field form Principal Ideal Domain
- Polynomials in Integers is not Principal Ideal Domain
- Prime Ideal of Principal Ideal Domain is Maximal
- Principal Ideal Domain cannot have Infinite Strictly Increasing Sequence of Ideals
- Principal Ideal Domain fulfills Ascending Chain Condition
- Principal Ideal Domain is Bézout Domain
- Principal Ideal Domain is Dedekind Domain
- Principal Ideal Domain is Integrally Closed
- Principal Ideal Domain is Unique Factorization Domain
- Principal Ideal of Principal Ideal Domain is of Irreducible Element iff Maximal