Tulane University Ring and Operator Theory Year, 1970-1971, Volume 3Springer-Verlag, 1971 - Associative rings |
Contents
Simultaneous Reduction for a and | 4 |
The Localization of Modules | 10 |
Derivation Laws | 16 |
Copyright | |
7 other sections not shown
Common terms and phrases
A₁ A₂ abelian l-group Boolean lattice Boolean space canonical commutative compact space compact support consequently continuous functions Corollary defined definition denote derivation law direct factor dominated maximal l-ideals exists an open f-ring finite follows formal unit functor global sections harmonic algebra Hausdorff space Hence homomorphism hyperarchimedean implies infer intersection isomorphic k-algebra K-morphism K-presheaf l-group l-homomorphism l-simple lattice-ordered rings lemma locally compact mapping Math maximal modular ideal minimal irreducible l-ideal morphism Neumann algebra obvious open neighborhood open set open subset ordered rings polar l-ideals presheaf proper l-ideal Proposition proved quasicompact quasilocal quasiregular f-ring R-module sections with compact semi-simple algebra sheaf of germs sheaves stalks Stone-Cech compactification strongly semi-simple supp p(a suppose Tauberian R-module topological space totally ordered totally ordered rings unique unit element modulo unitary von Neumann algebra zero δμα