St. Petersburg Mathematical Journal, 4. cilt,1-3. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
85 sonuçtan 1-3 arası sonuçlar
Sayfa 81
... element acts injectively in any simple D - torsion A - module . It follows from Corollary 3.5 that the A - module Mm is simple in the case when the left maximal ideal m C B contains a normal element . The proposition below shows that ...
... element acts injectively in any simple D - torsion A - module . It follows from Corollary 3.5 that the A - module Mm is simple in the case when the left maximal ideal m C B contains a normal element . The proposition below shows that ...
Sayfa 90
... elements g1 , ... , 8 , is free . 9.9 Let us prove that C ( ƒ ) = M. Choose an arbitrary nonzero element g € C ( ƒ ) . If л ( g ) = 0 , then , by Lemma 7.2 and ( 24 ) , g € K = g1K . If л + ( g ) = k > 0 , then there exists g such that ...
... elements g1 , ... , 8 , is free . 9.9 Let us prove that C ( ƒ ) = M. Choose an arbitrary nonzero element g € C ( ƒ ) . If л ( g ) = 0 , then , by Lemma 7.2 and ( 24 ) , g € K = g1K . If л + ( g ) = k > 0 , then there exists g such that ...
Sayfa 142
... element qЄ UM such that aq mod ( H ) . ← Proof . We use the method of constructing a homomorphism that we set out in [ 19 ] . We denote UM by X , Z ( ûC ) by B1 , Z ( B1 ) by B2 , and Z ( B2 ) by B3 . Let a be an element of B1 for ...
... element qЄ UM such that aq mod ( H ) . ← Proof . We use the method of constructing a homomorphism that we set out in [ 19 ] . We denote UM by X , Z ( ûC ) by B1 , Z ( B1 ) by B2 , and Z ( B2 ) by B3 . Let a be an element of B1 for ...
İçindekiler
PARTITION FUNCTIONS IN OPTIMIZATION 150 | 6 |
Partition functions on a symmetric group and problems in multilinear | 22 |
Exponential integrals over convex polytopes | 31 |
Telif Hakkı | |
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addition algebra algorithm analytic applications arbitrary assertion assume basis boundary bounded called Chapter closed complete computing cone connected Consequently consider constant construct contains continuous Corollary corresponding curve defined definition denote determined direct domain element English transl equal equation estimate example exists extension fact factorization field finite follows formal formula function given gives Hence holds homomorphism ideal implies indices inequality integral interval isomorphism Lemma linear Math Mathematical matrix measure method module morphism multiple natural norm obtain operator partition polynomial polytope positive problem projective proof properties Proposition proved relations relative Remark representation respect result ring roots satisfy sequence simple solution space sufficiently Suppose surface Theorem theory vector zero