247 citations
- Universidad de ZaragozaES8 papers
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- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Institut polytechnique de GrenobleFR2 papers
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6 papers · 1 filter
Leibniz triple systems
Murray R. Bremner, Juana Sanchez-Ortega
We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras. We ve…
Kumjian-Pask algebras of higher-rank graphs
Gonzalo Aranda Pino, John Clark, Astrid an Huef +1
We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras,…
Jordan Triple Disystems
Murray R. Bremner, Raul Felipe, Juana Sanchez-Ortega
We take an algorithmic and computational approach to a basic problem in abstract algebra: determining the correct generalization to dialgebras of a given variety of nonassociative…
Associative Dialgebras from a structural viewpoint
Candido Martin Gonzalez
In this note we study associative dialgebras proving that the most interesting such structures arise precisely when the algebra is not semiprime. In fact the presence of some "perf…
The partially alternating ternary sum in an associative dialgebra
Murray R Bremner, Juana Sanchez Ortega
The alternating ternary sum in an associative algebra, , gives rise to the partially alternating ternary sum in an associative dialgebra with pro…
The socle of a Leavitt path algebra
Gonzalo Aranda Pino, Dolores Martin Barquero, Candido Martin Gonzalez +1
In this paper we characterize the minimal left ideals of a Leavitt path algebra as those ones which are isomorphic to principal left ideals generated by line point vertices, that i…