Boolean prime ideal theorem
In mathematics, a prime ideal theorem guarantees the existence of certain types of subsets in a given algebra. A common example is the Boolean prime ideal theorem, which states that ideals in a Boolean algebra can be extended to prime ideals. A variation of this statement for filters on sets is known as the . Other theorems are obtained by considering different mathematical structures with appropriate notions of ideals, for example, rings and prime ideals (of ring theory), or distributive lattices and maximal ideals (of order theory). This article focuses on prime ideal theorems from order theory.
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Boolean prime ideal theorem
In mathematics, a prime ideal theorem guarantees the existence of certain types of subsets in a given algebra. A common example is the Boolean prime ideal theorem, which states that ideals in a Boolean algebra can be extended to prime ideals. A variation of this statement for filters on sets is known as the . Other theorems are obtained by considering different mathematical structures with appropriate notions of ideals, for example, rings and prime ideals (of ring theory), or distributive lattices and maximal ideals (of order theory). This article focuses on prime ideal theorems from order theory.
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Der boolesche Primidealsatz sa ...... dealsatz zum Ultrafilterlemma.
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Em matemática, um teorema do i ...... ferir à esse axioma adicional.
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In mathematics, a prime ideal ...... efer to this additional axiom.
@en
Twierdzenie o ideale pierwszym – twierdzenie teorii krat rozdzielnych.
@pl
素理想定理（prime ideal theorem）即保证在 ...... 理。经常用缩写BPI（对布尔代数）或PIT提及这个额外公理。
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676,829,629
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Der boolesche Primidealsatz sa ...... elschen Vollständigkeitssatz.)
@de
Em matemática, um teorema do i ...... deal primo da teoria da ordem.
@pt
In mathematics, a prime ideal ...... al theorems from order theory.
@en
Twierdzenie o ideale pierwszym – twierdzenie teorii krat rozdzielnych.
@pl
素理想定理（prime ideal theorem）即保证在 ...... 理。经常用缩写BPI（对布尔代数）或PIT提及这个额外公理。
@zh
label
Boolean prime ideal theorem
@en
Boolescher Primidealsatz
@de
Teorema do ideal primo booliano
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Twierdzenie o ideale pierwszym
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布尔素理想定理
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