불_환,Boolean_ring

Boolean ring
불 환 $\displaystyle R$ 이란, a ring for which $\displaystyle \forall x\in R, \; x^2=x$


MOVED FROM 환론
{


MKL
ring_sum_normal_form =,ring_sum_normal_form =,ring_sum_normal_form . ring_sum_normal_form { ring sum normal form (RSNF or RNF) WtEn:ring_sum_normal_form WpEn:Ring_sum_normal_form "ring sum normal form" Ggl:ring sum normal form - syn. algebraic_normal_form(wten) }
algebraic_normal_form =,algebraic_normal_form =,algebraic_normal_form . algebraic_normal_form { algebraic normal form (ANF) WtEn:algebraic_normal_form = https://en.wiktionary.org/wiki/algebraic_normal_form (syn. ring_sum_normal_form) WpEn:algebraic_normal_form = https://en.wikipedia.org/wiki/Algebraic_normal_form }
Zhegalkin_polynomial =,Zhegalkin_polynomial =,Zhegalkin_polynomial . Zhegalkin_polynomial { Zhegalkin polynomial WtEn:Zhegalkin_polynomial WpEn:Zhegalkin_polynomial Ggl:Zhegalkin polynomial Ndict:Zhegalkin polynomial Naver:Zhegalkin polynomial "Zhegalkin polynomial" Up: 다항식,polynomial}

WtEn:Boolean_ring
= https://en.wiktionary.org/wiki/Boolean_ring
곱셈연산이 idempotent한 ring.
i.e.
곱셈,multiplication 연산이 멱등성,idempotence을 가진 ring.
Rel
RSNF = ring_sum_normal_form = algebraic_normal_form
WpEn:Boolean_ring


}


tmp files:
Boolean Algebras, Boolean Rings and Stone’s Representation Theorem (2017)
https://mathsci.kaist.ac.kr/~htjung/Boolean.pdf