منابع مشابه
Generators of lattice varieties
Although it is well known that the variety of all lattices is generated by the subclass of finite lattices, there are lattice varieties which are not generated by their finite members . In fact, there are modular varieties which are not even generated by their finite dimensional members [3]. At the present t ime it is not known if the variety of all modular lattices is generated by its finite o...
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This is a survey article, reporting on recent results in the theory of minimal varieties in euclidean space, and including a number of theorems on minimal submanifolds of spheres. Introduction. It was exactly 100 years ago, in 1868, that Beltrami presented the first general survey of the theory of minimal surfaces [4]. This survey has been referred to by Blaschke [5, p. 118] as representing the...
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The concept lattice corresponding to a context may be alternatively specified by means of attribute implications. One outstanding problem in formal concept analysis and other areas is the study of the equivalences between a given set of implications and its corresponding basis (notice that there exists a wide range of approaches to basis in the literature). In this work we introduce a method to...
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A variety of finite monoids is a class of finite monoids closed under taking submonoids, quotients and finite direct products. A language L is a subset of a finitely generated free monoid. The variety theorem of Eilenberg sets up a one to one correspondence between varieties of finite monoids and classes of languages called, appropriately, varieties of languages. Recent work in variety theory h...
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The aim of this paper is twofold. First some machinery is established to reveal the structure of abelian congruences. Then we describe all minimal, locally finite, locally solvable varieties. For locally solvable varieties, this solves problems 9 and 10 of Hobby and McKenzie. We generalize part of this result by proving that all locally finite varieties generated by nilpotent algebras that have...
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ژورنال
عنوان ژورنال: Algebra Universalis
سال: 2001
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s000120050199