St. Petersburg Mathematical Journal, 4. cilt,1-3. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
87 sonuçtan 1-3 arası sonuçlar
Sayfa 71
... simple ( i.e. irreducible ) modules are classified and the two- sided ideals are described . The Krull dimension and the global dimension are com- puted for certain classes of algebras . It is proved that the Ext " ' s and Torn's of simple ...
... simple ( i.e. irreducible ) modules are classified and the two- sided ideals are described . The Krull dimension and the global dimension are com- puted for certain classes of algebras . It is proved that the Ext " ' s and Torn's of simple ...
Sayfa 79
... { simple A - module with support Supp ( A / a ) } = { simple factor of the A - module A / a } . Proof . This follows from Proposition 2.2 ( c ) and the preceding lemma . Recall that a category of modules is called semisimple if any module ...
... { simple A - module with support Supp ( A / a ) } = { simple factor of the A - module A / a } . Proof . This follows from Proposition 2.2 ( c ) and the preceding lemma . Recall that a category of modules is called semisimple if any module ...
Sayfa 80
Necessity . Since M is a simple essential A - submodule in S - 1M , we have Soc1 ( S - 1M ) = M . Sufficiency . Conversely , any simple B - module N contains a nonzero B - sub- module S - 1 ( Soc1 ( N ) ) and therefore coincides with it ...
Necessity . Since M is a simple essential A - submodule in S - 1M , we have Soc1 ( S - 1M ) = M . Sufficiency . Conversely , any simple B - module N contains a nonzero B - sub- module S - 1 ( Soc1 ( N ) ) and therefore coincides with it ...
İçindekiler
Partition functions on a symmetric group and problems in multilinear | 22 |
Exponential integrals over convex polytopes | 31 |
Exponential sums over convex polytopes | 39 |
Telif Hakkı | |
3 diğer bölüm gösterilmiyor
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Sık kullanılan terimler ve kelime öbekleri
A-module a₁ abelian abelian extensions Akad algebra algorithm analytic arbitrary assertion asymptotics boundary value problem bounded c-ring class field theory coefficients cokernel complete computing cone consider construct convex Corollary corresponding cr-extension curvature curve decomposition defined definition denote divisor domain element English transl equal equation exact sequence example exists extension factorization finite follows formula functor Galois Hence Hilbert Hilbert symbol homomorphism ideal implies inequality integral isomorphism left-invariant Lemma Leningrad Lie group linear Mathematical matrix matrix-valued function matroid module morphism multiple Nauk SSSR norm obtain operator p-adic partition functions polytope preabelian category proof of Theorem properties Proposition proved representation residue field result ring roots scalar selfadjoint signed measure solution space subharmonic functions subspace Suppose topological vector vector bundle Weyl algebra zero