Results 221 to 230 of about 3,855 (264)
Linking root length and surface area to yield: variety-specific root plasticity in winter wheat across contrasting European environments. [PDF]
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International Journal of Algebra and Computation, 2022
A variety is primitive if every subquasivariety is equational, i.e. a subvariety. In this paper, we explore the connection between primitive lattice varieties and Whitman’s condition (W). For example, if every finite subdirectly irreducible lattice in a locally finite variety [Formula: see text] satisfies Whitman’s condition (W), then [Formula: see ...
Peter Jipsen, James B. Nation
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A variety is primitive if every subquasivariety is equational, i.e. a subvariety. In this paper, we explore the connection between primitive lattice varieties and Whitman’s condition (W). For example, if every finite subdirectly irreducible lattice in a locally finite variety [Formula: see text] satisfies Whitman’s condition (W), then [Formula: see ...
Peter Jipsen, James B. Nation
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Varieties of Orthomodular Lattices
Canadian Journal of Mathematics, 1971In this paper we start investigating the lattice of varieties of orthomodular lattices. The varieties studied here are those generated by orthomodular lattices which are the horizontal sum of Boolean algebras. It turns out that these form a principal ideal in the lattice of all varieties of orthomodular lattices.
Bruns, Günter, Kalmbach, Gudrun
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On the variety of strong subresiduated lattices
Mathematical Logic Quarterly, 2023AbstractA subresiduated lattice is a pair , whereAis a bounded distributive lattice,Dis a bounded sublattice ofAand for every there exists the maximum of the set , which is denoted by . This pair can be regarded as an algebra of type (2, 2, 2, 0, 0), where . The class of subresiduated lattices is a variety which properly contains the variety of Heyting
Sergio A. Celani +1 more
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LATTICES OF VARIETIES OF ALGEBRAS
Mathematics of the USSR-Sbornik, 1980Let be an associative and commutative ring with 1, a subsemigroup of the multiplicative semigroup of , not containing divisors of zero, and some variety of -algebras. A study is made of the homomorphism from the lattice of all subvarieties of into the lattice of all varieties of -algebras, which is induced in a certain natural sense by the ...
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Varieties of Demi‐Pseudocomplemented Lattices
Mathematical Logic Quarterly, 1991The authors present a solution to the problem of desribing the structure of the lattice of subvarieties of the variety of demi \(p\)-lattices, and in particular of almost \(p\)-lattices. The main purpose is to present an infinite poset \(P_ 0\) whose Hasse diagram is completely described by the following property: The lattice of subvarieties of the ...
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Splittings in the variety of residuated lattices
Algebra Universalis, 2000A pair \(( {\mathcal V}_1, {\mathcal V}_2)\) of subvarieties of a variety \(\mathcal V\) is called a splitting pair if \({\mathcal V}_1 \not \subseteq {\mathcal V}_2\) and for any subvariety \(\mathcal S\) of \(\mathcal V\) either \({\mathcal V}_1 \subseteq \mathcal S\) or \({\mathcal S} \subseteq {\mathcal V}_2\). In such a case, \({\mathcal V}_1\) is
Kowalski, Tomasz, Ono, Hiroakira
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A Subsemilattice of the Lattice of Varieties of Lattice Ordered Groups
Canadian Journal of Mathematics, 1981Each variety of lattice ordered groups determines a variety of groups, namely the variety of groups generated by the groups i n . In this paper a completely new and different correspondence between varieties of groups and varieties of lattice ordered groups is developed.
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Variety Invariants for Modular Lattices
Canadian Journal of Mathematics, 1969A variety (primitive class) is a class of abstract algebras which is closed under the formation of subalgebras, homomorphic images, and products. For a given variety we shall call a function μ*, which assigns to each algebra a natural number or ∞, denoted by μ*(A), a variety invariant if for every natural number n the class of all with μ*(A) ≦ n is ...
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Quasiorder lattices of varieties [PDF]
The set \(\mathrm{Quo}(A)\) of compatible quasiorders of an algebra \(A\) forms a lattice under inclusion and the congruence lattice \(\mathrm{Con}(A)\) is its sublattice. It is proved that a locally finite variety is congruence distributive (modular) if and only if it is quasiorder distributive (modular).
Gyenizse Gergő, Maróti Miklós
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