Algebra Universalis

Papers
(The median citation count of Algebra Universalis is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Equational theories of upper triangular tropical matrix semigroups8
Lattice characterization of finite nilpotent groups7
On joins of complemented sublocales6
On the cardinality of non-isomorphic intermediate rings of C(X)5
Canonical extensions, free completely distributive lattices, and complete retracts5
Reversibility of disconnected structures4
Minimum proper extensions in some lattices of subalgebras4
Automorphisms and strongly invariant relations4
On the variety generated by generalized subreducts of Tarski’s algebras of relations3
Characterizations of pseudocomplemented lattices by excluded 0-sublattices3
Nuclear ranges in implicative semilattices3
Constructing illoyal algebra-valued models of set theory3
Joins and meets in effect algebras3
Universal slices of the category of graphs3
Perfect extensions of de Morgan algebras3
Adjoint maps between implicative semilattices and continuity of localic maps3
Canonical extensions of lattices are more than perfect2
Projectivity in (bounded) commutative integral residuated lattices2
Connected topological lattice-ordered groups2
Multisorted Boolean clones determined by binary relations up to minion homomorphisms2
On z-elements of multiplicative lattices2
Riesz and pre-Riesz monoids2
The “zero-two” law in Orlicz–Kantorovich spaces2
Near-unanimity-closed minions of Boolean functions2
On complete lattices of radical submodules and $$ z $$-submodules2
The lattice of monomial clones on finite fields2
Admissible subsets and completions of ordered algebras2
On a statement of O. Frink about free pseudo-complemented meet-semilattices2
Submaximal clones over a three-element set up to minor-equivalence1
Jónsson Jónsson–Tarski algebras1
Unilinear residuated lattices: axiomatization, varieties and FEP1
Coextensive varieties via central elements1
Semiring identities of the Brandt monoid1
Homomorphic images of affine quandles1
On the representation of ordered semigroups by transformations of ordered sets1
On regularity and injectivity of the ring of real-continuous functions on a topoframe1
Exploring new topologies for the theory of clones1
Abstractly constructed prime spectra1
Localic transitivity1
A frame-theoretic perspective on Esakia duality1
Extremality, left-modularity and semidistributivity1
A structure theorem for truncations on an Archimedean vector lattice1
On the Boolean algebra induced by a unital $$\ell $$-group1
The complexity of homomorphism factorization1
Difference–restriction algebras of partial functions: axiomatisations and representations1
Algebras from congruences1
Adjunction of a strong unit to a hyper-archimedean lattice-ordered group1
Odd and even Fibonacci lattices arising from a Garside monoid1
Lattices with normal elements1
Duality for $$\kappa $$-additive complete atomic modal algebras1
The number of languages with maximum state complexity1
The structure of finite commutative idempotent involutive residuated lattices1
On a new construction of pseudocomplemented semilattices1
Characterization of self-majorizing elements in Archimedean vector lattices1
Two results on Fremlin’s Archimedean Riesz space tensor product1
An algebraic theory of clones1
Right-cancellable protomodular algebras1
On algebras of binary relations with conjunctive operations1
A relatively finite-to-finite universal but not Q-universal quasivariety1
Choice-free duality for orthocomplemented lattices by means of spectral spaces1
Idempotent identities in f-rings1
Natural dualities for varieties generated by finite positive MV-chains0
Another problem of Jónsson and McKenzie from 1982: refinement properties for connected powers of posets0
Varieties with existentially definable factor congruences0
Residual finiteness and related properties in monounary algebras and their direct products0
Every minimal dual discriminator variety is minimal as a quasivariety0
Mal’tsev products of varieties, I0
Surjective polymorphisms of directed reflexive cycles0
Graphs of finite algebras: edges, and connectivity0
Priestley-style duality for DN-algebras0
Conjunctive join-semilattices0
Duality for normal lattice expansions and sorted residuated frames with relations0
Galois connections for bilattices0
Topological representations of Lawson compact algebraic L-domains and Scott domains0
Permutation invariant boolean states0
On the complexity of equational decision problems for finite height complemented and orthocomplemented modular lattices0
Another look on tense and related operators0
Relative lengths of Maltsev conditions0
Cartesian closed varieties I: the classification theorem0
Mitschke’s theorem is sharp0
Dualities for subresiduated lattices0
Generalized quasiorders and the Galois connection $${\textbf {End}}$$–$$\varvec{{{\,\textrm{gQuord}\,}}}$$0
Right-preordered groups from a categorical perspective0
The number fields that are $${O}^{*}$$-fields0
Factor principal congruences and Boolean products in filtral varieties0
Quasivarieties of algebras whose compact relative congruences are principal0
Quasi-Engel varieties of lattice-ordered groups0
Equivalence à la Mundici for commutative lattice-ordered monoids0
Some further results on pointfree convex geometry0
Grätzer–Hofmann–Lawson–Jung–Sünderhauf duality0
Strongly minimal Steiner systems II: coordinatization and quasigroups0
$$\varvec{S}$$-preclones and the Galois connection $$\varvec{{}^{S}{}\textrm{Pol}}$$–$$\varvec{{}^{S}{}\textrm{Inv}}$$, Part I0
The least left n-trinilpotent congruence on the free trioid0
Graphs of finite algebras: maximality, rectangularity, and decomposition0
Saturated free algebras and almost indiscernible theories0
De Morgan clones and four-valued logics0
Correction: Projectivity in (bounded) commutative integral residuated lattices0
Finite representability of semigroups with demonic refinement0
Nilpotent groups in lattice framework0
Closed sets of finitary functions between products of finite fields of coprime order0
On relatively elementary definability of graph classes in the class of semigroups0
On k-ary parts of maximal clones0
Lattices of retracts of direct products of two finite chains and notes on retracts of lattices0
Diagram induced properties of congruence lattices0
Finitely based congruence varieties0
A theorem of Mumford and Ramanujam for universal algebras0
Stone space partitions indexed by a poset0
Solution to two problems on ideally conjunctive join-semilattices0
Override and restricted union for partial functions0
On the representation of measures over bounded lattices0
Existential relations on infinite structures0
A finite axiomatization of positive MV-algebras0
Weakly Schreier extensions for general algebras0
The assembly of a pointfree bispace and its two variations0
The modal logic of abelian groups0
Decomposition of $$\hbox {d}_{\text {0}}$$-algebras0
On the lattice of conatural classes of linear modular lattices0
What makes a Stone topological algebra Profinite0
Esakia duals of regular Heyting algebras0
On automorphisms of categories with applications to universal algebraic geometry0
Measuring associativity: graph algebras of undirected graphs0
Semilinear De Morgan monoids and epimorphisms0
A finite representation of relation algebra $$\varvec{1896_{3013}}$$0
Varieties of ordered algebras as categories0
Topology of closure systems in algebraic lattices0
Uniform continuity of pointfree real functions via farness and related Galois connections0
Free products of digroups0
Majority-closed minions of Boolean functions0
Hull classes in compact regular frames0
Mal’tsev products of varieties, II0
On minimal semiring generating sets of finitely generated commutative parasemifields0
Mal’tsev condition satisfaction problems for conditions which imply edge terms0
Topologies of pointwise convergence in the first order languages and in affine spaces0
Lacunary series, algebraic normal forms, convolutions0
Divisibility on certain o-groups of matrices0
On semigroup constructions induced by commuting retractions on a set0
Topological representation of double Boolean algebras0
On the number of universal algebraic geometries0
Some remarks on type n lattice-ordered algebras and a question of Huijsmans0
Bubble lattices I: Structure0
Acts with identities in the congruence lattice0
Higher commutators in semigroups with zero0
Characterizing the commutator in varieties with a difference term0
Efficient realizations of closure systems0
Spectral properties of cBCK-algebras0
Free-lattice functors weakly preserve epi-pullbacks0
Algebraic frames in which dense elements are above dense compact elements0
Catoids and modal convolution algebras0
On the networks of large embeddings0
Correction to: Injective hulls for ordered algebras0
Congruence-simple multiplicatively idempotent semirings0
Was Ulam right? II: small width and general ideals0
Characterizations of U-frames and frames that are finitely a U-frame0
Not all nilpotent monoids are finitely related0
The Freudenthal and other compactifications of continuous frames0
The structure of completely meet irreducible congruences in strongly Fregean algebras0
Monounary algebras containing subalgebras with meet-irreducible congruence lattice0
Vaughan-Lee’s nilpotent loop of size 12 is finitely based0
Improved bounds on the size of the smallest representation of relation algebra $$32_{65}$$0
Algebraic frames in Priestley duality0
Truncations of ordered abelian groups0
Slim patch lattices as absolute retracts and maximal lattices0
Some partial results on the cancellation law for the tensor product of complete lattices0
Big lattices of hereditary and natural classes of linear modular lattices0
Choice-free topological duality for implicative lattices and Heyting algebras0
On fraction-dense algebraic frames0
Reorienting quandle orbits0
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