nLab idiom

Definition

Idiom is a complete upper-continuous (= meet continuous) modular lattice.

Literature

The terminology is due Harold Simmons.

  • Harold Simmons, Near-discreteness of modules and spaces as measured by Gabriel and Cantor, Journal of Pure and Applied Algebra 56 (1989) 119–162
  • Harold Simmons, A decomposition theory for complete modular meet-continuous lattices, Algebra Universalis 64 (2010) 349–377 doi
  • Harold Simmons, An introduction to idioms. Notes. (2014) University of Manchester pdf
  • José Patricio Sánchez-Hernández, On natural sets on an idiom, Communications in Algebra 48:11 (2020) 5004-5025 doi
  • Mauricio Medina Bárcenas, José Ríos Montes, Angel Zaldívar, Some operators and dimensions in modular meet-continuous lattices, Corichi Journal of Algebra and Its Applications 17_:05 (2018) 1850094 doi
category: algebra

Last revised on October 10, 2023 at 10:57:35. See the history of this page for a list of all contributions to it.