منابع مشابه
Algebras with a Compatible Uniformity
Given a variety of algebras V, we study categories of algebras in V with a compatible structure of uniform space. The lattice of compatible uniformities of an algebra, Unif A, can be considered a generalization of the lattice of congruences ConA. Mal’cev properties of V influence the structure of Unif A, much as they do that of ConA. The category V[CHUnif] of complete, Hausdorff such algebras i...
متن کاملA topology induced by uniformity on BL-algebras
BL-algebras have been invented by P. Hájek [3] in order to provide an algebraic proof of the completeness theorem of “Basic Logic” (BL, for short) arising from the continuous triangular norms, familiar in the fuzzy logic framework. The above notion is generalized to an algebraic system in which the required conditions are fulfilled (Definition 2.1). Filters in BL-algebras are also defined. A fi...
متن کاملThe Lattice of Compatible Quasiorders of Acyclic Monounary Algebras
Acyclic monounary algebras are characterized by the property that any compatible partial order r can be extended to a compatible linear order. In the case of rooted monounary algebras A = (A, f ) we characterize the intersection of compatible linear extensions of r by several equivalent conditions and generalize these results to compatible quasiorders of A. We show that the lattice QuordA of co...
متن کاملPoisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras
The notion of Poisson manifold with compatible pseudo-metric was introduced by the author in [1]. In this paper, we introduce a new class of Lie algebras which we call a pseudo-Riemannian Lie algebras. The two notions are strongly related: we prove that a linear Poisson structure on the dual of a Lie algebra has a compatible pseudo-metric if and only if the Lie algebra is a pseudo-Riemannian Li...
متن کاملCombinatorial bases for multilinear parts of free algebras with two compatible brackets
Article history: Received 31 October 2008 Available online 28 October 2009 Communicated by Vera Serganova
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ژورنال
عنوان ژورنال: Algebra Universalis
سال: 2002
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-002-8171-6