The dimension of a variety
نویسندگان
چکیده
Derived varieties were invented by P. Cohn in [4]. Derived varieties of a given type were invented by the authors in [10]. In the paper we deal with the derived variety Vσ of a given variety, by a fixed hypersubstitution σ. We introduce the notion of the dimension of a variety as the cardinality κ of the set of all proper derived varieties of V included in V. We examine dimensions of some varieties in the lattice of all varieties of a given type τ . Dimensions of varieties of lattices and all subvarieties of regular bands are determined.
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ورودعنوان ژورنال:
- CoRR
دوره abs/math/0602493 شماره
صفحات -
تاریخ انتشار 2006