Definition :

A ouullo commutative can I

*p fruit ,

el . neuters per . )

IEA E m ideal se

• Qs , Dez E I ⇒ a,

- az EI

( in partial .OE I

,a c- I ⇒ - AEI )

• a c- I be A ⇒ cab e I

Es . se AEA

(a) : =L gli el.

"

divisible pera"

Weei delle forme ab

per be

BA3 e- rn ideate

che in dice principal generate idea

Def . ALI I ie quiz .

ol . A per be

r.

d. e. Q , Naz ⇒ a ,

- are EI.

TELLA HI anello e

A EoAI amour di ouclli

defined

(a) t [ b ] : = [ at b ]

(a) I b) i [ ab ] .

DimVodiane de ie prod .

e- be

definitea

'= at 2 b' = be p

2, p EI ⇒ tap.

a' b '= ab t ab t af

-

of ideate e I per def

le alte proprieties verifies

focilnere .

Es. 74cm )

TELE . Ogi ideal in K o

KG ] e- principal

( Es. Traore w iolvele won

principal in R Cx ) )Dein . per 44×3 .

I ideal consider '

- In Lol( o EI sempre ) e oi a p e In lol

in element di grade minims .

Hostname he se q E I ⇒ 9 Edin 's'S

perp

dug q Z dug p per come obtain

Salto p ,quiet posse divider :

q = cap t r con degrsolegp

me q EI, PE I ⇒ r = q - ap EI

per cod r = O e q e- divisible

per p . I

( K,

REX ] soo avid ' down .

and ideal principal.

PID )

Ch- arsenate be dim coke aleche ie generator p e- nice

a mere di cost.

melt. quiet

Rotolo 's I

EKCX]

⇒ esisre nice p MONICO

te.

I = ( p ) .

Dollie olim segue ache che

press qe KCX ]

q= cap t r cow dug rap

wee OGNI el di IK Cx ]( se It Lol ) e- equivalent

e we element di grade L p .

derived . siepolugp = d,

n'

put

son 've ogi I ou IK Hep ) core

@.toe ,

Xt. - . toed

. ,

Xd " ] .

EE .IK Kp) e- we op . vote

.on

IK e star aliunde de

(1) , - . . [ Xd - ' ] e- we base.

( Allo Noooo mode we d. ol '

rapper . )per Khu) E Is ] , . - . [ n - 1) .

es . p= XII IK = IR

ogi I . in REX ]/X4l si son 've

Eat b X ). Com si he ie prod .

?C@tbXBEcxcd4D-fC.atbxlfctdx ) ]

[ act Cadtbc ) X tbd X' )

me ( x' 3=1×41 - I ] = fi ) ⇒

Kac- bad ) t ( adtbc ) X ]

esse G) 2=1×23--1-17 .

Got Lx ]I we

" Rota quadrate"

ol.- 1

.

EES.

[ at tox ]fa÷ .⇐ ¥pX]= Is ]

⇒ 112434,41 e- m cop

( = : Clcoupe

dei new congolese'

.

inod . CX ] si indica i e

[ at BX ) = : at ib. )

Quest foto mon e- rn case :

TEO 3.

- p e- iniolucitnle

in lkfx ] IKCX ] Kp, e-

we compo .

Dig .⇐Se P -- Pi Pu

Yousp

pi , Pz d- grade positive ⇒

Ep , ] , Ipa ) to me

Epi ] Epa ) = I pipa ] = o!

⇒ KEX ) # , e m aelbe .

per for vedere de e-in

capo oleo mestee be

se fg ] to ⇒ Trow w

inverse. q e- prime can P

quinol . ( Bezant ) Fa,

b t. a .

aqtbp =L.

( dim veloce de Bezant. prede

I'

iwoieeI-LLP-pqld.pe/kCx3I m ideal che e- principlesie r ie no gem .

- Cr ) = I

p E Cr ), q E ( r ) gmo pg

priv true boo quiet ( r ) = ( s )

LE I quiet a'

serve

Lp t pg . ) . Applauds IT

all'

nuguagliauue aqtbp = I

si he ( per he def .

delle

operationin ATI )

(a) (g) = I grindCa ) e Cq]

- I

B