Difference between r1.1 and the current
@@ -1,5 +1,8 @@
#noindex
[[환,ring]]
[[환론,ring_theory]]
##=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 $\displaystyle \forall x\in R, \; x^2=x$
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"
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.wiktionary.org/wiki/algebraic_normal_form (syn. ring_sum_normal_form)
algebraic_normal_form = https://en.wikipedia.org/wiki/Algebraic_normal_form }
Zhegalkin_polynomial =,Zhegalkin_polynomial =,Zhegalkin_polynomial . Zhegalkin_polynomial { Zhegalkin polynomial
Zhegalkin_polynomial
Zhegalkin_polynomial
Zhegalkin polynomial
Zhegalkin polynomial
Zhegalkin polynomial "Zhegalkin polynomial" Up: 다항식,polynomial}
ring_sum_normal_form =,ring_sum_normal_form =,ring_sum_normal_form . ring_sum_normal_form { ring sum normal form (RSNF or RNF)
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
![WpEn: WpEn:](/wiki/imgs/interwiki/wpen-16.png)
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
algebraic_normal_form =,algebraic_normal_form =,algebraic_normal_form . algebraic_normal_form { algebraic normal form (ANF)
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
![WpEn: WpEn:](/wiki/imgs/interwiki/wpen-16.png)
Zhegalkin_polynomial =,Zhegalkin_polynomial =,Zhegalkin_polynomial . Zhegalkin_polynomial { Zhegalkin polynomial
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
![WpEn: WpEn:](/wiki/imgs/interwiki/wpen-16.png)
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
![Ndict: Ndict:](/wiki/imgs/interwiki/ndict-16.png)
![Naver: Naver:](/wiki/imgs/interwiki/naver-16.png)
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
= 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
i.e.
곱셈,multiplication 연산이 멱등성,idempotence을 가진 ring.
Rel
RSNF = ring_sum_normal_form = algebraic_normal_form
![WpEn: WpEn:](/wiki/imgs/interwiki/wpen-16.png)
}
tmp files:
Boolean Algebras, Boolean Rings and Stone’s Representation Theorem (2017)
https://mathsci.kaist.ac.kr/~htjung/Boolean.pdf
Boolean Algebras, Boolean Rings and Stone’s Representation Theorem (2017)
https://mathsci.kaist.ac.kr/~htjung/Boolean.pdf