Dab tsi yog qhov zoo tshaj plaws algebra?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Nyob rau hauv lub nplhaib txoj kev xav, ib ceg ntawm abstract algebra , ib zoo tagnrho yog ib tug tshwj xeeb subset ntawm lub nplhaib. Ntxiv thiab rho tawm ntawm tus lej khaws cia qhov sib npaug, thiab muab tus lej sib npaug los ntawm lwm tus lej ua rau lwm tus lej; cov kaw thiab nqus cov khoom no yog cov cuab yeej txhais tau tias zoo tagnrho.

Yog li ntawd, Q yog qhov zoo tshaj plaws ntawm R?

Ib txoj cai zoo Q ntawm R hu ua ϕ-primary yog thaum twg a, b ∈ R , ab ∈ Q −ϕ( Q ) txhais tau tias yog ib qho ∈ Q los yog b ∈ √ Q . Yog li ntawd, yog hais tias peb muab ib tug ntau ntawm cov kev pab cuam. Q ) = ∅ (resp., ϕ0( Q ) = 0), a ϕ-primary zoo tagnrho yog thawj (resp., weakly thawj). Nyob rau hauv daim ntawv no peb kawm cov khoom ntawm ntau generalizations ntawm thawj cov tswv yim ntawm R.

Tsis tas li ntawd, dab tsi yog qhov zoo tshaj plaws hauv keeb kwm? ib tug txheej txheem ntawm perfection los yog excellence. ib tug neeg los yog tej yam xeeb ceem raws li embodying xws li conception los yog ua raws li tus qauv, thiab coj raws li ib tug qauv rau imitation: Thomas Jefferson yog nws zoo tagnrho.

Yog li ntawd, dab tsi yog qhov zoo tagnrho hauv pab pawg kev xav?

Ib zoo tagnrho yog ib tug subset ntawm cov ntsiab lus nyob rau hauv ib lub nplhaib uas tsim ib tug additive pab pawg thiab muaj cov khoom uas, thaum twg belongs rau thiab belongs rau, ces thiab belongs rau. Piv txwv li, lub teeb ntawm cov integers yog ib zoo tagnrho nyob rau hauv lub nplhaib ntawm integers.

Qhov zoo tagnrho yog dab tsi?

Zoo Tswv Yim Zoo . Ib qho zoo tagnrho ntawm ib lub nplhaib uas nruj me ntsis dua lub nplhaib tag nrho. Piv txwv li, yog a zoo tagnrho ntawm lub nplhaib ntawm integers, txij li thaum. Cov zoo tagnrho ntawm lub nplhaib polynomial kuj yog tsim nyog , vim nws muaj tag nrho cov multis ntawm.