52 citations · 217 across the 45 of their papers we have counts for
Showing 2011 · math.RAShow all
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math.RA2011★ 1 cited
Bilinear maps on Artinian modules
George M. Bergman
It is shown that if a bilinear map f: A x B --> C of modules over a commutative ring k is nondegenerate (i.e., if no nonzero element of A annihilates all of B, and vice versa), and…
math.RA2011★ 8 cited
Every module is an inverse limit of injective modules
George M. Bergman
It is shown that any left module A over a ring R can be written as the intersection of a downward directed system of injective submodules of an injective module; equivalently, as a…
math.RA2011
Isotone maps on lattices
G. M. Bergman, G. Grätzer
Let (L_i : i\in I) be a family of lattices in a nontrivial lattice variety V, and let ϕ_i: L_i --> M, for i\in I, be isotone maps (not assumed to be lattice homomorphisms) to a com…