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91 sonuçtan 1-3 arası sonuçlar
Sayfa 199
On the free Z - module Z [ G ] we define involution , group multiplication , and
Hadamard multiplication by the formula & * = X 299 - , $ . n = ? agbhgh , gon =
agbog , g , heG SEG SEG where $ = { geGagg and n = LEGb , 9 . Obviously , $ ( x
- 1 ) ...
On the free Z - module Z [ G ] we define involution , group multiplication , and
Hadamard multiplication by the formula & * = X 299 - , $ . n = ? agbhgh , gon =
agbog , g , heG SEG SEG where $ = { geGagg and n = LEGb , 9 . Obviously , $ ( x
- 1 ) ...
Sayfa 200
( We use the symbols i and a to denote also the induced homomorphisms of the
corresponding Z - modules . ) For X CG , the set ( 14 ) rad ( X ) = { geG : gX = X9 =
X } is obviously a subgroup of G called the radical of X . Equivalently , rad ( X ) is
...
( We use the symbols i and a to denote also the induced homomorphisms of the
corresponding Z - modules . ) For X CG , the set ( 14 ) rad ( X ) = { geG : gX = X9 =
X } is obviously a subgroup of G called the radical of X . Equivalently , rad ( X ) is
...
Sayfa 213
A straightforward computation shows that ( 36 ) A ( R ) = ( A ( EpIG , A ( R ) ) g g :
Since , obviously , Gp E Cel * ( W , ) and Ep E E ( W ) , the matrix A ( Ep . ) IG , A (
R ) belongs to Wy . Therefore , the matrix on the right - hand side of ( 36 ) ...
A straightforward computation shows that ( 36 ) A ( R ) = ( A ( EpIG , A ( R ) ) g g :
Since , obviously , Gp E Cel * ( W , ) and Ep E E ( W ) , the matrix A ( Ep . ) IG , A (
R ) belongs to Wy . Therefore , the matrix on the right - hand side of ( 36 ) ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero