Lattices Over Orders, Volumes 1-2Springer-Verlag, 1970 - Lattice theory |
Contents
Homological algebra 1 Categories and functors II 1 | 65 |
Homology II 17 | 81 |
Derived functors II 31 | 95 |
Copyright | |
14 other sections not shown
Common terms and phrases
A-lattices ½ abelian group algebraic number field artinian assume automorphism Bass-order central simple Coker commutative diagram completely primary containing Corollary decomposes decomposition Dedekind domain define Definition denote direct sum domain with quotient e₁ elements epimorphism exact sequence exists finite group finite type Frobenius functor Grothendieck group Hence hereditary R-order homomorphism Homp Î₁ idempotents implies indecomposable induces integral irreducible K-algebra K₁ Krull-Schmidt theorem lattices left R-module M₁ Math matrix maximal ideal maximal R-order module monic Moreover Morita equivalence morphism multiplication N₁ Nakayama's lemma noetherian non-isomorphic notation P₁ polynomial prime ideals primitive progenerator projective Proof quotient field R-module rad â representations resp ring satisfies Eichler's condition semi-simple separable K-algebra skewfield spec split submodule suffices to show two-sided ideal unique w₁