Yuav ua pov thawj tias pawg ntawm cov lej kuv yog ib pab pawg neeg abelian peb yuav tsum txaus siab rau tsib yam khoom nram qab no uas yog Closure Property, Associative Property Associative Property Hauv kev lej, associative algebra A yog cov qauv algebraic nrog sib xws kev ua haujlwm ntawm kev sib ntxiv, sib npaug (xav tias yog kev sib koom ua ke), thiab kev sib npaug ntawm cov ntsiab lus hauv qee qhov chaw. https://en.wikipedia.org › wiki › Associative_algebra
Associative algebra - Wikipedia
Cov Khoom Siv Tus Kheej, Cov Khoom Sib Hloov, thiab Cov Khoom Siv Sib Txuas Sib Txuas Cov Khoom Siv Sib Txuas Sib Txuas yog qhov tseem ceeb ntawm txoj kev kawm ntawm cov nplhaib tshwm sim hauv algebraic tus lej theory thiab algebraic geometry. Nyob rau hauv algebraic tooj txoj kev xav, cov rings ntawm algebraic integers yog Dedekind rings, uas yog li ntawd ib tug tseem ceeb chav kawm ntawv ntawm commutative rings. https://en.wikipedia.org › wiki › Commutative_algebra
Commutative algebra - Wikipedia
. Li no Kaw Khoom txaus siab. Cov khoom ntiag tug kuj txaus siab.
Pab pawg dab tsi yog dab tsi?
Cov Khoom Ntawm Pawg Raws Li Pawg Txoj Cai
Ib pawg, G, yog ib qho kawg lossis tsis kawg ntawm cov khoom / yam khoom, koom ua ke los ntawm kev ua haujlwm binary lossis pab pawg ua haujlwm, uas sib koom ua tau raws li plaub yam tseem ceeb ntawm pab pawg, i.e kaw, kev sib koom ua ke, tus kheej, thiab cov khoom hloov pauv.
Koj paub li cas tus neeg abelianpab pawg?
Show the commutator [x, y]=xyx−1y−1 [x, y]=x y x − 1 y − 1 of two arbitary elements x, y∈G x, y ∈ G yuav tsum yog tus kheej. Qhia cov pab pawg yog isomorphic rau cov khoom ncaj qha ntawm ob pawg abelian (sub) pawg. Xyuas seb pab pawg puas tau xaj p2 rau ib qho prime p LOSSIS yog qhov kev txiav txim yog pq rau primes p≤q p ≤ q nrog p∤q−1 p ∤ q − 1.
plaub yam ntawm ib pab yog dab tsi?
Group
- Ib pawg yog ib pawg tsis kawg lossis tsis kawg ntawm cov ntsiab lus ua ke nrog kev ua haujlwm binary (hu ua pab pawg ua haujlwm) uas ua ke txaus siab rau plaub qhov tseem ceeb ntawm kev kaw, kev sib koom ua ke, cov khoom ntiag tug, thiab cov cuab yeej rov qab. …
- Kaw: Yog thiab yog ob yam hauv, ces cov khoom kuj tseem nyob hauv.
Yuav ua li cas yog pawg neeg abelian?
Cov neeg coob coob ntawm Abelian pawg ua haujlwm ntawm kev txiav txim yog 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, … (OEIS A046054), uas tshwm sim rau kev txiav txim 1, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, …
