Linear ultrafilters

DOI10.1080/00927879808826396zbMath0942.16023OpenAlexW4254002767MaRDI QIDQ4224015

Ehud Hrushovski, George M. Bergman

Publication date: 28 May 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826396

zbMATH Keywords

endomorphism ringssimple modulesdivision ringslinear filterscontinuous endomorphismseigenringslattices of vector spaceslinear cofilterslinear ultrafilters

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Infinite-dimensional and general division rings (16K40) Linear transformations, semilinear transformations (15A04) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ultraproducts and related constructions (03C20) Applications of logic in associative algebras (16B70) Localization of categories, calculus of fractions (18E35) Determinacy principles (03E60) Ultraproducts and field theory (12L10)

Related Items

Filters on a countable vector space, On k-Subspaces of L-vector-spaces

Cites Work

• Four concepts from “geometrical” stability theory in modules
• Linear analogues of ultrafilters
• Ultrafilters and abelian groups
• On k-Subspaces of L-vector-spaces
• Simple modules over End(V_D) with prescribed annihilator
• Boolean Rings of Projection Maps