Associative Dialgebras from a Structural Viewpoint
نویسندگان
چکیده
منابع مشابه
From Algebras and Coalgebras to Dialgebras
This paper investigates the notion of dialgebra, which generalises the notions of algebra and coalgebra. We show that many (co)algebraic notions and results can be generalised to dialgebras, and investigate the essential differences between (co)algebras and arbitrary dialgebras.
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We apply Kolesnikov’s algorithm to obtain a variety of nonassociative algebras defined by right anticommutativity and a “noncommutative” version of the Malcev identity. We use computational linear algebra to verify that these identities are equivalent to the identities of degree ≤ 4 satisfied by the dicommutator in every alternative dialgebra. We extend these computations to show that any speci...
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Logics as Dialgebras Alessandra Palmigiano Departament de Lògica, Història i Filosofia de la Ciència, Universitat de Barcelona Abstract The aim of this report is to propose a line of research that studies the connections between the theory of consequence operators as developed in [1] and [4] and the theory of dialgebras. The first steps in this direction are taken in this report, namely some of...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2013
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2011.653066