УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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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}.