Nyob rau hauv lej, ib subring ntawm R yog ib tug subset ntawm ib lub nplhaib uas yog nws tus kheej ib lub nplhaib thaum binary ua hauj lwm ntawm ntxiv thiab multiplication ntawm R yog txwv rau lub subset, thiab uas sib koom ib yam multiplicative …
Koj ua pov thawj li cas yog ib qho subring?
A non-empty subset S of R is a subring if a, b ∈ S ⇒ a - b, ab ∈ S. Yog li S raug kaw nyob rau hauv kev rho tawm thiab sib npaug. Kev Ua Haujlwm: Ua pov thawj tias ob lub ntsiab lus no sib npaug.
Puas subrings muaj 1?
Ua pov thawj tias ib qho subring ntawm thaj teb uas muaj tus kheej yog qhov tseem ceeb. Kev daws: Cia R ⊆ F ua ib daim teb.
Dab tsi yog qhov subrings ntawm Z6?
Ntxiv mus, lub teeb {0, 2, 4} thiab {0, 3} yog ob lub subrings ntawm Z6. Feem ntau, yog R yog ib lub nplhaib, ces {0} thiab R yog ob subrings ntawm R.
Dab tsi yog qhov txawv ntawm qhov zoo tshaj plaws thiab subring?
Dab tsi yog qhov sib txawv ntawm qhov subring thiab qhov zoo tagnrho? Ib subring yuav tsum raug kaw hauv qhov sib npaug ntawm cov ntsiab lus hauv subring. Qhov zoo tshaj plaws yuav tsum raug kaw nyob rau hauv qhov sib npaug ntawm cov khoom hauv qhov zoo tagnrho los ntawm ib qho khoom hauv lub nplhaib.
