[PDF][PDF] An irregular Horn sentence in submodule lattices

G Czédli, G Hutchinson - Acta Sci. Math.(Szeged), 1987 - researchgate.net
For a ring R, always with 1, a lattice is said to be representable by R-modules if it is
embeddable in the lattice of submodules of some unital left R-module. Let L (R) denote the …

Exact embedding functors and left coherent rings

KR Fuller, G Hutchinson - Proceedings of the American Mathematical …, 1988 - ams.org
Let $ R $ and $ S $ be rings with unit. Suppose $ P $ is a free $ R $-module on $\beta $
generators, where $\beta $ is an infinite cardinal number not smaller than the cardinality of …

[PDF][PDF] Exact Embedding Functors for Module Categories and Submodule Lattice Quasivarieties

G Hutchinson - Journal of Algebra, 1999 - core.ac.uk
Given rings with unit R and S, we will write R) S if there exists an exact embedding functor F:
R-Mod ª S-Mod. Many equivalent or suffi-Ž. cient conditions for the existence of such F are …