St. Petersburg Mathematical Journal, 18. cilt,511-1027. sayfalarAmerican Mathematical Society, 2007 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 658
... module M is divisible if its additive group is rm for all rЄ R , m Є M. We say that an R - module is reduced if it contains no divisible submodules . Theorem 1.1 ( [ 2 ] ) . Let M be an arbitrary R - module . Then : 1. Either the module ...
... module M is divisible if its additive group is rm for all rЄ R , m Є M. We say that an R - module is reduced if it contains no divisible submodules . Theorem 1.1 ( [ 2 ] ) . Let M be an arbitrary R - module . Then : 1. Either the module ...
Sayfa 659
... module M. Definition 1.3 ( [ 2 ] ) . Let M be an R - module ; by the pseudorational rank of M we mean the dimension dimo ( M / TM ) of the factor module M / TM over the field Q ≈ R / T . Properties : 6 ° . If M = ( x1 , ... , xn ) R ...
... module M. Definition 1.3 ( [ 2 ] ) . Let M be an R - module ; by the pseudorational rank of M we mean the dimension dimo ( M / TM ) of the factor module M / TM over the field Q ≈ R / T . Properties : 6 ° . If M = ( x1 , ... , xn ) R ...
Sayfa 800
... modules that we use in what follows . Lemma 4.1 . Let E be a free finite C [ [ h ] ] - module . Then every C [ [ h ] ] - submodule of E is finite and free . This assertion holds true for modules over principal ideal domains ( see , e.g. ...
... modules that we use in what follows . Lemma 4.1 . Let E be a free finite C [ [ h ] ] - module . Then every C [ [ h ] ] - submodule of E is finite and free . This assertion holds true for modules over principal ideal domains ( see , e.g. ...
İçindekiler
Asekritova and N Kruglyak Interpolation of Besov spaces in the nondiagonal | 511 |
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Telif Hakkı | |
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Sık kullanılan terimler ve kelime öbekleri
adjacent algebra algorithm apply approximation assume assumptions of Theorem b₁ bounded called closed coefficients commutative complex consider constant constructed contains continuous convergence Corollary corresponding cycle defined definition denote depends domain elements entire equal equation equivalent estimate example exists extension fact factorization field finite formal formula function given graph Hence ideal implies inequality integral invariant isomorphic lattice Lemma Math Mathematical matrix means module multiplicity norm Note obtain operator parameters polynomial positive present problem Proof properties Proposition proved reduces refinable regularity relations Remark representation respectively result ring root satisfies scheme sequence solution space statement Subsection subspace suffices Suppose symbol symmetric Theorem theory twisted vector vertex vertices zero