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<strong>×</strong>ÙÑÑÖÞØÖ<strong>×</strong>ÙÐØ<strong>×</strong>ÐÓÛº<br />

4¹ÈË<strong>×</strong>ØØ<strong>×</strong>ÒÀÄÑÓÐ<strong>×</strong>¸ØÛ<strong>×</strong>ÒØÙÖÐØÓÐÓÓÓÖÒÙÒÖÐÝÒй ÓÖÑΦ 10<br />

1ÑÓÐ<strong>×</strong>ºÌ<strong>×</strong>Û<strong>×</strong><strong>×</strong>ØÙÒ½¸¸¸℄ºÏ<br />

º¿<br />

ÒÖÝÓ1 Ö<strong>×</strong>ØÖÙØÙÖÐÓÒØÐÒ<strong>×</strong>ÓØN =<br />

ÌÃÅÄ<strong>×</strong>ÙÔÖÐÖÓÖÖ<strong>×</strong>ÔÓÒÒØÓØÀÄÑÓÐÛØÓÙØÒÝÓÖÓÐÒÛØ ÌÃÅÄ<strong>×</strong>ÙÔÖÐÖG 1<strong>×</strong>ÚÒÝ 1¸ÛÖØ<strong>×</strong>Ù<strong>×</strong>ÖÔØÒÓØ<strong>×</strong>ØNÓØ<br />

1<br />

(Z)Û<strong>×</strong><strong>×</strong>ØÙ Ø<strong>×</strong>ÒÓÑÒØÓÖÒØØÝÚÒÝØ<strong>×</strong>ÕÙÖÖÓÓØÓØÑÓÙÐÖÓÖÑΦ 10<br />

ÝÖØ<strong>×</strong>ÒÓÒÆÙÐÒ℄ºÏÒÓØØÝG ÓÖÓÐÒÖÓÙÔZ<br />

ÁØ<strong>×</strong>ÖÒ3ÝÔÖÓÐÑØÖܸ<strong>×</strong>ÓÒÓØÒÚÐÙ<strong>×</strong>ÓØÖØÒÑØÖÜ<strong>×</strong>ÒØÚº<br />

NºÌÖØÒÑØÖÜÓG ´º½µ<br />

3ÛÓ<strong>×</strong>ÖÑÑØÖÜ<br />

ÓÙÒÝØ<strong>×</strong>Ô<strong>×</strong>ÓÖØÓÓÒÐØÓØÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>º<br />

1,IIºÌØÖÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ÒØÖÓÓØÐØØ<br />

II¸Û<strong>×</strong>ÚÒÝØÖÓÒ ÌÐÖG 1<strong>×</strong>ØÖÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>¸ÐÐØÑδ 1 , δ 2Òδ ´ÑØÖÜÓÒÒÖÔÖÓÙØ<strong>×</strong>µ<strong>×</strong>A M II = Zδ 1 ⊕ Zδ 2 ⊕ Zδ 3ÒÙÒÑÒØÐÔÓÐÝÖÓÒ¸M ´º¾µ<br />

ÓÐÐÓÛÒÛÝ iÒØ ÄØÙ<strong>×</strong>ÛÖØØÖÓÓØ<strong>×</strong>ÒØÖÑ<strong>×</strong>Ó<strong>×</strong><strong>×</strong>(f 2 , f 3 , f −2 )ÛÖÖÐØØÓØδ iÖ ´º¿µ<br />

δ 1 = 2f 2 − f 3 , δ 2 = f 3 , δ 3 = 2f −2 − f 3<br />

´ºµ<br />

.<br />

ÌÒÓÒ¹ÚÒ<strong>×</strong>ÒÒÒÖÔÖÓÙØ<strong>×</strong>ÑÓÒØÐÑÒØ<strong>×</strong>f<br />

(f 2 , f −2 ) = −1, (f 3 , f 3 ) = 2 .<br />

½<br />

⎛ ⎞<br />

2 −2 −2<br />

⎜ ⎟<br />

A 1,II ≡ ⎝−2<br />

2 −2⎠ .<br />

−2 −2 2<br />

R + M II = {x ∈ M II ⊗ R | (x, δ i ) ≤ 0, i = 1, 2, 3}.

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