불_환,Boolean_ring in RRWiki

Difference between r1.1 and the current

@@ -1,5 +1,8 @@

#noindex

##=불_환,Boolean_ring =,Boolean_ring 불_환 Boolean_ring

##=====불_환,Boolean_ring =,Boolean_ring 불_환 Boolean_ring

'''Boolean ring'''

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

----

MKL
[[환,ring]]
[[환론,ring_theory]]

@@ -17,6 +20,15 @@

[[WtEn:Boolean_ring]]
= https://en.wiktionary.org/wiki/Boolean_ring

곱셈연산이 idempotent한 ring.

i.e.

[[곱셈,multiplication]] 연산이 [[멱등성,idempotence]]을 가진 ring.

Rel

RSNF = ring_sum_normal_form = algebraic_normal_form

{

WtEn:ring_sum_normal_form = WtEn:algebraic_normal_form

Rel. [[제갈킨_다항식,Zhegalkin_polynomial]]

}

[[WpEn: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)

Ring_sum_normal_form "ring sum normal form"

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)

algebraic_normal_form = https://en.wikipedia.org/wiki/Algebraic_normal_form }
Zhegalkin_polynomial =,Zhegalkin_polynomial =,Zhegalkin_polynomial . Zhegalkin_polynomial { Zhegalkin polynomial

곱셈연산이 idempotent한 ring.
i.e.
곱셈,multiplication 연산이 멱등성,idempotence을 가진 ring.
Rel
RSNF = ring_sum_normal_form = algebraic_normal_form

{

}

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