[图书][B] Algebraic theory of quasivarieties
VA Gorbunov - 1998 - books.google.com
The theory of quasivarieties constitutes an independent direction in algebra and
mathematical logic and specializes in a fragment of first-order logic-the so-called universal …
mathematical logic and specializes in a fragment of first-order logic-the so-called universal …
[HTML][HTML] Join-semidistributive lattices and convex geometries
KV Adaricheva, VA Gorbunov, VI Tumanov - Advances in Mathematics, 2003 - Elsevier
We introduce the notion of a convex geometry extending the notion of a finite closure system
with the anti-exchange property known in combinatorics. This notion becomes essential for …
with the anti-exchange property known in combinatorics. This notion becomes essential for …
[图书][B] The lattice of subquasivarieties of a locally finite quasivariety
J Hyndman, JB Nation - 2018 - Springer
The book Roads to Quoz, by William Least Heat-Moon, describes that author's search for the
mysterious reward that awaits the curious traveler, as much in the journey as the destination …
mysterious reward that awaits the curious traveler, as much in the journey as the destination …
Open questions related to the problem of Birkhoff and Maltsev
ME Adams, KV Adaricheva, W Dziobiak… - Studia Logica, 2004 - Springer
Abstract 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 …
which is isomorphic to the lattice L (K) of all subquasivarieties for some quasivariety K of …
Sublattices of complete lattices with continuity conditions
F Wehrung - Algebra Universalis, 2005 - Springer
Various embedding problems of lattices into complete lattices are solved. We prove that for
any join-semilattice S with the minimal join-cover refinement property, the ideal lattice Id S of …
any join-semilattice S with the minimal join-cover refinement property, the ideal lattice Id S of …
Semilattices of finitely generated ideals of exchange rings with finite stable rank
F Wehrung - Transactions of the American Mathematical Society, 2004 - ams.org
We find a distributive $(\vee, 0, 1) $-semilattice $ S_ {\omega _1} $ of size $\aleph _1 $ that
is not isomorphic to the maximal semilattice quotient of any Riesz monoid endowed with an …
is not isomorphic to the maximal semilattice quotient of any Riesz monoid endowed with an …
Lattices that are embeddable in suborder lattices
MV Semenova - Algebra and Logic, 2005 - Springer
Lattices That are Embeddable in Suborder Lattices Page 1 Algebra and Logic, Vol. 44, No. 4,
2005 LATTICES THAT ARE EMBEDDABLE IN SUBORDER LATTICES MV Semenova ∗ UDC …
2005 LATTICES THAT ARE EMBEDDABLE IN SUBORDER LATTICES MV Semenova ∗ UDC …
On the prevariety of perfect lattices
K Adaricheva - Algebra universalis, 2011 - Springer
We call a complete lattice perfect if it is a sublattice of a lattice of the form Sp (A), where A is
an algebraic lattice and Sp (A) stands for the lattice of algebraic subsets of A. The problem of …
an algebraic lattice and Sp (A) stands for the lattice of algebraic subsets of A. The problem of …
[图书][B] A primer of subquasivariety lattices
K Adaricheva, J Hyndman, JB Nation, JN Nishida - 2022 - Springer
Praise no day until evening, no wife before her cremation, no sword till tested, no maid
before marriage, no ice till crossed, no ale till it's drunk.–Viking proverb from Hávamál Скоро …
before marriage, no ice till crossed, no ale till it's drunk.–Viking proverb from Hávamál Скоро …
Lattices of algebraic subsets
KV Adaricheva - algebra universalis, 2005 - Springer
Lattices of algebraic subsets Page 1 Algebra univers. 52 (2004) 167–183 0002-5240/04/030167
– 17 DOI 10.1007/s00012-004-1843-7 c©Birkhäuser Verlag, Basel, 2004 Algebra Universalis …
– 17 DOI 10.1007/s00012-004-1843-7 c©Birkhäuser Verlag, Basel, 2004 Algebra Universalis …