Cov txheej txheem:
Video: Ua li cas koj thiaj nrhiav tau cov tswv yim tseem ceeb?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Ib qho zoo tagnrho P ntawm lub nplhaib sib txuas R yog qhov tseem ceeb yog tias nws muaj ob yam nram qab no:
- Yog tias a thiab b yog ob lub ntsiab lus ntawm R xws li lawv cov khoom ab isan element ntawm P, ces a yog nyob rau hauv P los yog b yog nyob rau hauv P,
- P tsis yog tag nrho lub nplhaib R.
Yog li ntawd, puas yog cov thawj coj zoo tshaj plaws?
Piv txwv li, nyob rau hauv lub integers, lub zoo tagnrho (piv txwv li, qhov ntau ntawm) yog thawj thaum twg yog a thawj tus lej. Hauv ib qho twg thawj coj zoo sau npe, thawj lub tswv yim yog generated los ntawm thawj cov ntsiab lus. Cov tswv yim tseem ceeb generalize lub tswvyim ntawm primality rau ntau commutativerings.
Ib tug kuj yuav nug, dab tsi yog qhov zoo tshaj plaws ntawm Z? Hauv lub nplhaib Z ntawm integers, the maximalideals yog tus thawj xib fwb tswv yim tsim los ntawm ib tug primenumber. Feem ntau, tag nrho cov nonzero prime tswv yim yog siab kawg nyob rau hauv ib tug thawj coj zoo tagnrho sau npe. Cov maximalideals ntawm lub nplhaib polynomial yog tus thawj coj tswv yim generated los ntawm ib co.
Hauv qhov no, dab tsi yog qhov zoo tshaj plaws?
Zoo Tswv Yim Zoo . Ib qho zoo tagnrho ntawm ib lub nplhaib uas yog nruj me dua lub nplhaib tag nrho. Piv txwv li, yog a tsim nyog ntawm lub nplhaib ntawm integers, txij li thaum. Tib yam khoom implies tias ib zoo tagnrho muaj ib tug invertible element yuav tsis tau tsim nyog , vim, qhov twg denotes lub multiplicativeinverse ntawm nyob rau hauv.
Tus thawj xib fwb zoo yog dab tsi?
Hauv kev ua lej, tshwj xeeb yog lub nplhaib txoj kev xav, a tus thawj tswj hwm yog ib zoo tagnrho nyob rau hauv ib lub nplhaib uas yog generated los ntawm asingle keeb ntawm los ntawm kev sib npaug los ntawm txhua lub elementof.
Pom zoo:
Vim li cas thiaj tseem ceeb rau cov kws tshawb fawb nrhiav txoj hauv kev los npaj cov ntsiab lus?
Inventor: Dmitri Mendeleev
Dab tsi yog qhov txawv ntawm kev tshawb fawb paradigm thiab lub tswv yim lub tswv yim?
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