The hulls of semiprime rings
Copyright policy )The hulls of semiprime rings
Each semiprime ring admits a unique projectable, strongly projectable, laterally complete and orthocomplete hull. Almost all of the theory for X–hulls of lattice-ordered groups in Paul Conrad, “The hulls of representable l-groups and f-rings”, J. Austral. Math. Soc. 16 (1973), 385–415, has a counterpart for semiprime rings. The proofs of these results will appear elsewhere. They come in a large part directly from the corresponding theory for lattice-ordered groups. There is also a feedback from the rings to the groups.
- University of Kansas United States
Sp-Ring, Prime and semiprime associative rings, Mewborn Baer extension, Associative rings and algebras with additional structure, X-hull, Baer extension, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), semiprime ring, P-Ring, minimal right essential extension, O-Ring, Sp-ring, L-Ring, Centralizing and normalizing extensions, Chain conditions on annihilators and summands: Goldie-type conditions, Annihilator Ideal, P-ring, Ordered rings, algebras, modules, O-ring, Left Essential Extension, Mewborn Baer ring, Hulls Of Semiprime Rings, Topological and ordered rings and modules, L-ring, minimal left essential extension, partial order, Lattice Ordered Group, Structure theory of Boolean algebras, left essential extension, Ordered groups, Annihilator Preserving Endomorphisms, Kist Baer ring
Sp-Ring, Prime and semiprime associative rings, Mewborn Baer extension, Associative rings and algebras with additional structure, X-hull, Baer extension, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), semiprime ring, P-Ring, minimal right essential extension, O-Ring, Sp-ring, L-Ring, Centralizing and normalizing extensions, Chain conditions on annihilators and summands: Goldie-type conditions, Annihilator Ideal, P-ring, Ordered rings, algebras, modules, O-ring, Left Essential Extension, Mewborn Baer ring, Hulls Of Semiprime Rings, Topological and ordered rings and modules, L-ring, minimal left essential extension, partial order, Lattice Ordered Group, Structure theory of Boolean algebras, left essential extension, Ordered groups, Annihilator Preserving Endomorphisms, Kist Baer ring
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