منابع مشابه
Leibniz interpolation properties
In the same paper they present algebraic characterizations for all these notions and investigate their relation with the usual interpolation properties. The authors also remark: “only a few properties specific to FL-algebras or residuated lattices are used in our discussion,” and they propose the study of these interpolation properties in a more general setting. The objective of the present pap...
متن کاملCup-product for Leibniz Cohomology and Dual Leibniz Algebras
For any Lie algebra g there is a notion of Leibniz cohomology HL(g), which is defined like the classical Lie cohomology, but with the n-th tensor product g⊗n in place of the n-th exterior product Λ g. This Leibniz cohomology is defined on a larger class of algebras : the Leibniz algebras (cf. [L1], [L2]). A Leibniz algebra is a vector space equipped with a product satisfying a variation of the ...
متن کاملLeibniz Triple Systems
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; this algorithm is a concrete realization of the white Manin product introduced by Vallette by the permutad Perm introduced by Chapoton. We verify that Leibniz triple systems are natural analogues of Lie triple systems by s...
متن کاملOn Nilpotent Leibniz Superalgebras
The aim of this work is to present the first problems that appear in the study of nilpotent Leibniz superalgebras. These superalgebras and so the problems, will be considered as a natural generalization of nilpotent Leibniz algebras and Lie superalgebras. 2000 MSC: 17A32, 17B30. Key-Words: Lie superalgebras, Leibniz superalgebras, nilindex.
متن کاملDefinability of Leibniz Equality
Equality in first-order logic is represented in the language by means of a logical symbol and so it is interpreted uniformly; the semantics says that its interpretation in any structure is the identity relation. This is the absolute notion of identity however, and in fact the only one deserving this name. But there is a related relation: the relation of indiscernibility. Given a structure for a...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2014
ISSN: 0168-0072
DOI: 10.1016/j.apal.2013.11.001