Difference between r1.12 and the current
@@ -14,6 +14,15 @@
...에서 [[뺄셈,subtraction]]만 제외? chk
MKL [[semigroup]]
Sub:
[[star_semiring]] =,star_semiring =,star_semiring . star_semiring
{
https://en.wikipedia.org/wiki/Semiring#Star_semirings
"A star semiring (sometimes spelled starsemiring) is a semiring with an additional unary operator *, satisfying a^^*^^ = 1 + a a^^*^^ = 1 + a^^*^^ a. A [[클레이니_대수,Kleene_algebra]] is a '''star semiring''' with idempotent addition and some additional axioms."
}
Bing:semiring
Ggl:semiring
@@ -23,23 +32,7 @@
{
Sub:
{
WtEn:Boolean_ring ?
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
[[WpEn:Boolean_ring]]
}
MKL
[[영인자,zero_divisor]]
Sub:
[[불_환,Boolean_ring]] =불_환,Boolean_ring =,Boolean_ring 불_환 Boolean_ring
[[불_환,Boolean_ring]]
MKL
[[영인자,zero_divisor]]
@@ -121,6 +114,9 @@
https://mathworld.wolfram.com/CommutativeRing.html
}
[[소아이디얼,prime_ideal]]
{
}
[[유클리드_환,Euclidean_ring]]
----
Topics:[[소아이디얼,prime_ideal]]
{
Sub:
국소환,local_ring
다항식환,polynomial_ring
부분환,subring
semiring =,semiring =,semiring . semiring
{
semiring
국소환,local_ring
다항식환,polynomial_ring
부분환,subring
semiring =,semiring =,semiring . semiring
{
semiring
반환?
준환?
세미환?
준환?
세미환?
...에서 뺄셈,subtraction만 제외? chk
MKL semigroup
Sub:
star_semiring =,star_semiring =,star_semiring . star_semiring
{
https://en.wikipedia.org/wiki/Semiring#Star_semirings
"A star semiring (sometimes spelled starsemiring) is a semiring with an additional unary operator *, satisfying a* = 1 + a a* = 1 + a* a. A 클레이니_대수,Kleene_algebra is a star semiring with idempotent addition and some additional axioms."
}
star_semiring =,star_semiring =,star_semiring . star_semiring
{
https://en.wikipedia.org/wiki/Semiring#Star_semirings
"A star semiring (sometimes spelled starsemiring) is a semiring with an additional unary operator *, satisfying a* = 1 + a a* = 1 + a* a. A 클레이니_대수,Kleene_algebra is a star semiring with idempotent addition and some additional axioms."
}
bmks ko
환(ring)에서 체(field)까지 - 1. 환(ring) :: jjycjn's Math Storehouse
https://jjycjnmath.tistory.com/228
환(ring)에서 체(field)까지 - 1. 환(ring) :: jjycjn's Math Storehouse
https://jjycjnmath.tistory.com/228
환_(수학)
= https://ko.wikipedia.org/wiki/환_(수학)
= https://ko.wikipedia.org/wiki/환_(수학)
= https://ko.wikipedia.org/wiki/환_(수학)
= https://ko.wikipedia.org/wiki/환_(수학)
인접분야 - universal_enveloping_algebra / homological_algebra =,homological_algebra =,homological_algebra . homological_algebra { homological_algebra 호몰로지_대수학 homological_algebra = https://en.wikipedia.org/wiki/Homological_algebra }
}division ring
0이 아닌 모든 원소가 가역원인 환?
https://en.wiktionary.org/wiki/division_ring
https://en.wikipedia.org/wiki/Division_ring
수학백과 나눗셈환
나눗셈환
나눗셈환
division ring
0이 아닌 모든 원소가 가역원인 환?
https://en.wiktionary.org/wiki/division_ring
https://en.wikipedia.org/wiki/Division_ring
수학백과 나눗셈환
나눗셈환
나눗셈환
division ring
"division ring"
MKL 나눗셈,division
trivial_ring =,trivial_ring =,trivial_ring . trivial_ring
{
trivial ring
자명환 (wk)
https://ko.wikipedia.org/wiki/자명환
{
trivial ring
자명환 (wk)
https://ko.wikipedia.org/wiki/자명환
}
ordered_ring =,ordered_ring =,ordered_ring . ordered_ring
{
commutative_ring이면서 total_ordering을 가진.
ordered_ring
https://planetmath.org/orderedring
}
{
commutative_ring이면서 total_ordering을 가진.
ordered_ring
https://planetmath.org/orderedring
}