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 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