66 citations · 325 across the 49 of their papers we have counts for
5 papers · 1 filter
Hopfian and Bassian algebras
Louis Rowen, Lance Small
A ring is called Hopfian if cannot be isomorphic to a proper homomorphic image . is called Bassian if there cannot be an injection of into a proper homomorphic…
Categories with negation
Jaiung Jun, Louis Rowen
We continue the theory of $\tT$-systems from the work of the second author, describing both ground systems and module systems over a ground system (paralleling the theory of module…
An informal overview of triples and systems
Louis H. Rowen
We describe triples and systems, expounded as an axiomatic algebraic umbrella theory for classical algebra, tropical algebra, hyperfields, and fuzzy rings.
A short proof that the free associative algebra is Hopfian
Alexei Kanel-Belov, Louis Rowen, Jie-Tai Yu
A short proof is given of the fact that various classes of algebras including the free associative algebra are Hopfian, i.e., every epimorphism is an automorphism. This further sim…
Generation of summand absorbing submodules
Zur Izhakian, Manfred Knebusch, Louis Rowen
An -module over a semiring lacks zero sums (LZS) if . More generally, asubmodule of is "summand absorbing", if $ \forall \…