Oct 2, 1987 - 32. A. Frapolli, Generalizzazione di un theorema di H.A. Keller sulla modularita del reticolo dei sottospazi ortogonalmente chiusi di uno spazio ...
! "#$% & ' ( ! "#)% *( + , -./ ( 0
1 2 + / "#$) 3 4 5 - . 1 2 + ( 6"3"7/ 8 3 ( 8 9 + / ,8 ' 8 ! - !. 0 8
% %& '$(!' ($#($!%) ')$! !"#$
#:"
#:;
( 0 0 ( ! ( 8 ( 9> 8 8 ' < 8 < 8* , ( 9 1 2 9 ! 0
+ ? @A' -"./ , & ( = +"/ ! 1 02 0 ( B
!"# # $%
#:$
+;/ B +$/ < ( + -#$./ 0 B +C/ < ( 8 B +:/ < ( 8 B +)/ ! + / > + / > E + />
E
, - - "$;.
< I ' 0 +I / +L M/ I+ / E 7 L+ / E 7 '
#:%
!"# # $%
* "+ ,%%'
+I / E7
+L M/ L+ / E I+ /
E
, *' - .
& I I
,% 0%'%1 2 )3)4(%) 2 ( 5(( )4(% ? + I/ I + / F+ / E I+ / E 7 +F+ / J +7/ / ' ' * 9 ? K * + 4)
+ I/
+;""/ > +;";/ > +;"$/ E +7/> +;"C/ E + / E > +;":/ E + J / E J > +;")/ E 8 ? F+ / , 8
#:6
*+ %6 F + I/
(
+ I/ E F+ /
E +7/
+ I/ E F+ / J
E
8 + I/ E F+ /
E
! ( B
*/+ ,%%' + I/
+;$"/ +;$;/ +;$$/
#
+ I/
+
I/
$
$
+
I/
+ I/ +;$C/ + I/
$
+;$"/ *' - . +;$;/ *' - !. +;$$/ ? @ -/. C %$. +;$C/ -/. $ %".
#:#
!"# # $%
+ I/ 0
*"+ ,%%'
+ I/
+ + I/ +7/ / E E + J / % & ! '
+;C"/ +;C;/
=
+ / + I/ J
+ / + I/ J + I/
+
+;C$/
+ I/
I/
$
$
, - -. +;C$/ @ -$ . -/.
& +;C$/ + / +
/>
+ />
=
+ / = + / + /
! (
& + I/ 8
= & + I/ B Æ 8 3/ E +L+$ $ // E 77 "7 7" 77
7 7 7 ;
7 7 7
+L> / E +L+# $ # $ // E +I+$ $ / / E 77 7 7 77
7 7 7 5 HQ - $ 6:. 0 0 +L> / E +L> 3/ + / E ; ++ / / E ; ; !
? -". + / ( 8 + / 3 4 0 , + ' / 0 8 ? Q
#)6
! %) / < (
0 B ! -#$. ( " +:"/ +:;/ +:$/ +:C/ +::/ 8 +:)/ +:%/ H +:C/ +:%/ +:%/ 08 0 ! E 9 E % + / E + /
+ / + / E 8 0 8
*!.+ ,%%'
+
/
& $
"
0 0 -!. +);/ R ( > +)$/ > +)C/ 0 +$ / ( 1 2= + / +++I+ $ $ // / + $ / 7
*-!+ ,%%' + I/ =
+):"/ + +/ E + I/ +):;/ + I/ E + I/ +):$/ + I/ ) + I/ ) "
+ I/
, @A' -$-.
! + I/ ) 8 4
*--+ ,%%'
+
I/
+
I/
) " & $ " $ )
, ? -" .
#%$
!"# # $%
+D +C/ +:/ / ?
*-$+ ,%%'
$ "
, ? -" ).
&
*-.+ ,%%'
$ "
E7
E"
, ? -" %.
*-#+ ,%%'
$
+)#"/ E 7 E "
0+/ E 0+/ E
, - - "%7.
$ 0&% 3)%0 5(( )4(%) >/* 3+ / 4 1 & /+0/ #
# /0/ /+ % 2 4/5 % ( /0 # : $ 3+ % A *+ $ # 5*+ B % 4/5 . ' #/0 C/0 D$*00 4 / 4 : #% 4 /+ $B % /0/ ( . 0 / % &3 / - 3 C/0 (, '- 1: ) // / % %E* E ! ! &*+ /0/ 3 /B / : %5 4 + +4 (, '- F GGH: < // %5 4 8+/4 / + (, '- 1: $ 3 C/0 / 4 1 0 & # + J:K
$- 7 + / > JK G .. & !?/ " - + $00 / J1K ! +, # "
E-* / > JGFK : > -0/ / / " + $ " + / J1K GF GG )?/+2"++0/ #
$ " L5 / JK ) ++0 " "
0 / % J1.K :: : ! ) # + > %0+ #4 J1K . #
+ *++ */+ / % J1K ::: :GF ! ) -+ > >/* / ! %5 3 + + $ ( JK . ) / & " / J1GK . !> )*+ )
/ A > / J1K . / $ //++ 8" + % JGK )/5++ 77 7 $/ / 9
" 7 " 7 + / (/* % / J1K F & / /B
"
/ % ) % / JDK : GF " ,
" , > +4/ JK .: .G1 / ++ # $ " /* 5/ / JK 1 F / 44 " 8 $00 / + J:K . .
#66
/ "2 ?*@ #
+ " #* 2G GK * 8+/4 %*4/ / +2 +205- 8 / . 1
"
JK #0 - / % *55+ " + " +4/ " /+ J.K 1 % &* - + & - M N :: :1: / > + 8 + $ " # / JK : :1 / $ # + > / JK .: . G1H.. > &* # + $00 / J1K 1 . # /- % &* / > & "
*
" > # / % JK J.K G. .FF # 0/ / / @ /- " *
( !/0 > )0/+ #4 J.K :F. : / @ /- ""
> %0+ #4 JGK G G %% ++/ > . *3'
/ 0 / % J1:K 11 ""
/ 0 / % J1GK ::F :G: H.1F '( "
" " $// > / J1K . .. GFH1GF "
" 0 / % JFK 1 . ' " 0 £ * > +4/ J:K .1 . GH..G " ,
0/ / > J:K G # + £ * > +4/ JK F £ * £ * / 0 / % JFK G:I /+ /*0 JK ::: ! £ * > +4/ J1K 1 G1 -HFG
$ - JK * "" +
8+ .I $05/ $+ / 8+ + ! ) >/, @
/ A > /
!"# # $%
#6#
J1:K G G >
0 / % J..K 1 1 % /-*/ / &3 / - , 7 $ " B / JGGK .F . / .
7 " - $ " *++ 0 / % JG1K :: & /+ # * $ " B / JGK F /5+/- - , !*- / > JGK :F: : " / / + $ E J.FK H: #
" 0 / % J.K 1 . > / % >/5/ J.:K FF F " "
B / J..K .G .G ++ #
" " / A > / JFK F. F 8 *'
$ . / JFK G G
$ !" (/ /0/ / ( 1 " / $/+ / %/ /4 $ + G # " " / A > / J1K : GF1 BHF "2 ?*@ 3'
$ : : , 9:" / / J1GK . 1
3
"
/ 0 / % J1GK GF G1 ::HF
> / @- ' '( - + * *++ +< /;0 +/ % %; 0/;0/ 7* /0 7* 5 7* J1K .: . 0 *++ +< /;0 +2
/ % %; 0/;0/ 7* /0 7* 5 7*
##7
JFK : . 0 "" - +
5 /0/ /+ JK :. .F
$ " + , $ " - 5 / JK F
- + > / J:K G1 G GH
#
7 $ " $++7 / JGK G: G ; " 0 "
, $ " " %* / / JGK G .
#
7 $ " *++ / + % J1K G GG ' '( "
" " * *++ / + % JK : /
" * 7 0 / % JK GG1 GGI *55+0 0 / % JK 1 #
+ 0 / % JK 1: 1 GH " $
$// > / J:K 1 GH1 . '
" $
0 / % JGK G G1 #
&+/ - / % J.K : : " ""
)
0 / % J1K F1 $
! " B /2 / * & " / A > / JK F ) " + " > # / % JK JFK G. .F $ - + + + + / J1GK G: G1 # + > + #4 JK G GG @ /- 7 $ " ! " B // * F " > (/* % / JFK . ' " > # / % JK JK :: : !+ / A > / JK G. G
!"# # $%
##"
#
" + > */+ / % J:K 1. 1 !" " > $0 JGK 1 #
" > + #4 JGK G: G #
+ " / /4 JK :F: # " + " 2 *4/+ / )/ J. 1K + " 0 =*/ / JGK JK : :F ; 4 5 " 4" # / % JK JK G GG " %//- #"
- - > % 0/ " J.GK : :F %
"
/ A > / J11K . . *
$/ / > / J1K GF .F %C * 7 " " %* / % / *4/ JGK G G ! 55 4 "
"
/ A > / J1K : :. : '" B / > (*0/ = J:K G :F
##;
3 / ( +
" / A > /
J.K :1 : HF 3> 3 +* # 7 + / 0 / % JK 1. 3 4 "* O 7 ;( / > JK .1 .: ( + -
+ / A > / J1K . 1 .HG:. # "" 0 / % J1:K :G1 :. #
" $ " / A > / J11K .: .1 :GH.F