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58 sonuçtan 1-3 arası sonuçlar
Sayfa 210
4 , it suffices to prove that each of them has trivial radical . Suppose rad ( AG ' ) { 1
} , where Gʻ = G / L . Then , since rad ( A ) is a nontrivial 2 - group , so is rad ( AG
' ) . By Theorem 5 . 4 , this implies that AG ' satisfies the U ' / L ' - condition with ...
4 , it suffices to prove that each of them has trivial radical . Suppose rad ( AG ' ) { 1
} , where Gʻ = G / L . Then , since rad ( A ) is a nontrivial 2 - group , so is rad ( AG
' ) . By Theorem 5 . 4 , this implies that AG ' satisfies the U ' / L ' - condition with ...
Sayfa 444
It remains to check the reverse inclusion , and it suffices to do this in the case
where some H - i . i . ' s exist , but I is not an H - i . i . In this case ( 8 . 2 ) is true .
Let geS ( 0 ) . As in the proof of Theorem 9 . 2 , there is f such that conditions A ) ,
B ) ...
It remains to check the reverse inclusion , and it suffices to do this in the case
where some H - i . i . ' s exist , but I is not an H - i . i . In this case ( 8 . 2 ) is true .
Let geS ( 0 ) . As in the proof of Theorem 9 . 2 , there is f such that conditions A ) ,
B ) ...
Sayfa 494
2 ) If xi # xj , then each matrix of the form Tij belongs to the image of DFy for some
VEF - 1 ( U ) . Proof . 1 ) There exists a matrix PE O ( 11 ) X . . . x Olig ) and a
diagonal matrix D such that W = PDP - 1 = PDPT . Thus , it suffices to put Q = P
and d ...
2 ) If xi # xj , then each matrix of the form Tij belongs to the image of DFy for some
VEF - 1 ( U ) . Proof . 1 ) There exists a matrix PE O ( 11 ) X . . . x Olig ) and a
diagonal matrix D such that W = PDP - 1 = PDPT . Thus , it suffices to put Q = P
and d ...
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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