Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Wieslaw Dziobiak"'
Autor:
M. E. Adams, Wieslaw Dziobiak
Publikováno v:
Algebra universalis. 82
Let L denote the Q-lattice of the variety $${\mathcal {V}}$$ of lattices, i.e. the lattice of quasivarieties that are contained in $${\mathcal {V}}$$ . Let F denote the free lattice in $${\mathcal {V}}$$ with $$\omega $$ free generators and let Q(F)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::879d07e4476d7c52a66f1c31d90fb655
https://doi.org/10.1007/s00012-020-00681-7
https://doi.org/10.1007/s00012-020-00681-7
Publikováno v:
Algebra universalis. 76:155-182
The lattice of varieties of quasi-Stone algebras ordered by inclusion is an $${\omega+1}$$ chain. It is shown that the variety $${\mathbf{Q_{2,2}}}$$ (of height 13) is finite-to-finite universal (in the sense of Hedrlin and Pultr). Further, it is sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef5cf5ba85052e9dade4722f618b0b5a
https://doi.org/10.1007/s00012-016-0400-5
https://doi.org/10.1007/s00012-016-0400-5
Publikováno v:
Algebra universalis. 60:259-291
Let $$\langle {\mathcal{D}}, \leq \rangle$$ be the ordered set of isomorphism types of finite distributive lattices, where the ordering is by embeddability. We characterize the order ideals in $$\langle {\mathcal{D}}, \leq \rangle$$ that are well-qua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::133e1bdc2aa8850a3f17b1627c007239
https://doi.org/10.1007/s00012-009-2098-0
https://doi.org/10.1007/s00012-009-2098-0
Publikováno v:
Algebra universalis. 60:247-258
We find all finite unavoidable ordered sets, finite unavoidable semilattices and finite unavoidable lattices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8aea494e5d3178050079f15e31ebcce9
https://doi.org/10.1007/s00012-009-2097-1
https://doi.org/10.1007/s00012-009-2097-1
Publikováno v:
Studia Logica. 91:113-123
We present some equivalent conditions for a quasivariety \({\mathcal {K}}\) of structures to be generated by a single structure. The first such condition, called the embedding property was found by A.I. Mal′tsev in [6]. It says that if \({{\bf A},
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ceaaa4c94be7eca42755fcebc0fab2a
https://doi.org/10.1007/s11225-009-9168-3
https://doi.org/10.1007/s11225-009-9168-3
Publikováno v:
Fundamenta Mathematicae. 202:199-223
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3f70f2e36e5a964cf4ff2a2695cfdb7
https://doi.org/10.4064/fm202-3-1
https://doi.org/10.4064/fm202-3-1
Publikováno v:
Semigroup Forum. 78:253-261
We describe all minimal quasivarieties and all minimal varieties of semilattices with one automorphism (considered as algebras with one binary and two unary operations).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::798406f7ede7836cf49ed42404593891
https://doi.org/10.1007/s00233-008-9087-z
https://doi.org/10.1007/s00233-008-9087-z
Autor:
M. E. Adams, Wieslaw Dziobiak
Publikováno v:
International Journal of Algebra and Computation. 17:1349-1376
Let V be a non-trivial variety of bounded distributive lattices with a quantifier, as introduced by Cignoli in [7]. It is shown that if V does not contain the 4-element bounded Boolean lattice with a simple quantifier, then V contains non-isomorphic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b25165a07133a1f339d127f7638b40f
https://doi.org/10.1142/s0218196707004190
https://doi.org/10.1142/s0218196707004190
Publikováno v:
Studia Logica. 83:5-14
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdb43a33a368204fa0d32a10ae4e7ad6
https://doi.org/10.1007/s11225-006-8295-3
https://doi.org/10.1007/s11225-006-8295-3
Publikováno v:
Scopus-Elsevier
The Birkhoff-Maltsev problem asks for a characterization of those lattices each of which is isomorphic to the lattice L(K) of all subquasivarieties for some quasivariety K of algebraic systems. The current status of this problem, which is still open,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e742285e1d2980a07b15c142c7ed166
https://doi.org/10.1007/s11225-005-7378-x
https://doi.org/10.1007/s11225-005-7378-x