@article{burch_stitzinger_2016, title={TRIANGULABLE LEIBNIZ ALGEBRAS}, volume={44}, ISSN={["1532-4125"]}, DOI={10.1080/00927872.2015.1085997}, abstractNote={A converse to Lie's theorem for Leibniz algebras is found and generalized. The result is used to find cases in which the generalized property, called triangulable, is 2-recognizable; that is, if all 2-generated subalgebras are triangulable, then the algebra is also. Triangulability joins solvability, supersolvability, strong solvability, and nilpotentcy as a 2-recognizable property for classes of Leibniz algebras.}, number={8}, journal={COMMUNICATIONS IN ALGEBRA}, author={Burch, Tiffany and Stitzinger, Ernie}, year={2016}, pages={3622–3625} }
@article{burch_harris_mcalister_rogers_stitzinger_sullivan_2015, title={2-recognizeable classes of Leibniz algebras}, volume={423}, ISSN={["1090-266X"]}, DOI={10.1016/j.jalgebra.2014.10.039}, abstractNote={We show that for fields that are of characteristic 0 or algebraically closed of characteristic greater than 5, that certain classes of Leibniz algebras are 2-recognizeable. These classes are solvable, strongly solvable and supersolvable. These same results hold in Lie algebras and in general for groups.}, journal={JOURNAL OF ALGEBRA}, author={Burch, Tiffany and Harris, Meredith and McAlister, Allison and Rogers, Elyse and Stitzinger, Ernie and Sullivan, S. McKay}, year={2015}, month={Feb}, pages={506–513} }