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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For any type of abstract algebra, a variety is an equationally defined class of such algebras. Recently, attempts have been made to study varieties of lattice-ordered groups (/-groups). Martinez has shown that the set L of all /-group varieties forms a lattice under set inclusion with a compatible associative multiplication. Certain varieties Sp (p prime) have been proved by Scrimger to be mini...
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We give a structure theorem for n-dimensional smooth toric Fano varieties whose associated polytope has “many” pairs of centrally symmetric vertices. Introduction. Smooth toric Fano varieties, together with their equivariant birational contractions, have been intensively studied in recent years: see [WW82, Bat82, Bat99, Sat00, Bon00, Cas01b, Cas01c, Sat02]. In some cases, the toric case has bee...
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We begin with a lattice N isomorphic to Z. The dual lattice M of N is given by Hom(N,Z); it is also isomorphic to Z. (The alphabet may appear to be going backwards; but this notation is standard in the literature.) We write the pairing of v ∈ N and w ∈M as 〈v, w〉. A cone in N is a subset of the real vector space NR = N ⊗R generated by nonnegative R-linear combinations of a set of vectors {v1, ....
متن کاملSemi-linear Varieties of Lattice-Ordered Algebras
We consider varieties of pointed lattice-ordered algebras satisfying a restricted distributivity condition and admitting a very weak implication. Examples of these varieties are ubiquitous in algebraic logic: integral or distributive residuated lattices; their {·}-free subreducts; their expansions (hence, in particular, Boolean algebras with operators and modal algebras); and varieties arising ...
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ژورنال
عنوان ژورنال: Algebra Universalis
سال: 1976
ISSN: 0002-5270,1420-8911
DOI: 10.1007/bf02485834