OOIR: Observatory of International Research

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 2021-11-01 to 2025-11-01.)

Article	Citations
Multisorted Boolean clones determined by binary relations up to minion homomorphisms	14
Canonical extensions, free completely distributive lattices, and complete retracts	7
Canonical extensions of lattices are more than perfect	6
Riesz and pre-Riesz monoids	6
Exploring new topologies for the theory of clones	5
The “zero-two” law in Orlicz–Kantorovich spaces	5
Two results on Fremlin’s Archimedean Riesz space tensor product	4
On complete lattices of radical submodules and $$ z $$-submodules	3
Duality for normal lattice expansions and sorted residuated frames with relations	3
Representable distributive quasi relation algebras	3
The prime spectrum of $$\ell $$-groups and MV-algebras	3
Right-cancellable protomodular algebras	3
Surjective polymorphisms of directed reflexive cycles	3
Lattices with normal elements	3
Decomposition of $$\hbox {d}_{\text {0}}$$-algebras	3
Was Ulam right? II: small width and general ideals	3
Measuring associativity: graph algebras of undirected graphs	2
Free strict n-tuple semigroups are determined by their endomorphism semigroups	2
Partial commutators	2
Spectral properties of cBCK-algebras	2
Some remarks on type n lattice-ordered algebras and a question of Huijsmans	2
Correction: Projectivity in (bounded) commutative integral residuated lattices	2
Some partial results on the cancellation law for the tensor product of complete lattices	2
Some further results on pointfree convex geometry	2
Priestley-style duality for DN-algebras	2

Characterizations of U-frames and frames that are finitely a U-frame	1
Monounary algebras containing subalgebras with meet-irreducible congruence lattice	1
Generalized quasiorders and the Galois connection $${\textbf {End}}$$–$$\varvec{{{\,\textrm{gQuord}\,}}}$$	1
Projectivity in (bounded) commutative integral residuated lattices	1
Semilinear De Morgan monoids and epimorphisms	1
Idempotent identities in f-rings	1
Odd and even Fibonacci lattices arising from a Garside monoid	1
Infinitary primitive positive definability over the real numbers with convex relations	1
Słupecki digraphs	1
Majority-closed minions of Boolean functions	1
Strongly minimal Steiner systems II: coordinatization and quasigroups	1
What makes a Stone topological algebra Profinite	1
Automorphisms and strongly invariant relations	1
The number of languages with maximum state complexity	1
Perspectivity in complemented modular lattices and regular rings	1
On the complexity of equational decision problems for finite height complemented and orthocomplemented modular lattices	1
Varieties of ordered algebras as categories	1
Reorienting quandle orbits	1
Free products of digroups	1
Nonelementary inclusive varieties of groups and semigroups	1
On joins of complemented sublocales	1
Extremality, left-modularity and semidistributivity	1
Submaximal clones over a three-element set up to minor-equivalence	1
Minimum proper extensions in some lattices of subalgebras	0
Higher commutators in semigroups with zero	0
Adjunction of a strong unit to a hyper-archimedean lattice-ordered group	0
Slim patch lattices as absolute retracts and maximal lattices	0
A theorem of Mumford and Ramanujam for universal algebras	0
Permutation invariant boolean states	0
The number fields that are $${O}^{*}$$-fields	0
Hull classes in compact regular frames	0
Choice-free topological duality for implicative lattices and Heyting algebras	0
On the variety generated by generalized subreducts of Tarski’s algebras of relations	0
On the lattice of conatural classes of linear modular lattices	0
Existential relations on infinite structures	0
Lacunary series, algebraic normal forms, convolutions	0
Abstractly constructed prime spectra	0
Nuclear ranges in implicative semilattices	0
On semigroup constructions induced by commuting retractions on a set	0
On the networks of large embeddings	0
Graphs of finite algebras: maximality, rectangularity, and decomposition	0
Improved bounds on the size of the smallest representation of relation algebra $$32_{65}$$	0
Monadic ortholattices: completions and duality	0
Override and restricted union for partial functions	0
An algebraic theory of clones	0
Efficient realizations of closure systems	0
Topology of closure systems in algebraic lattices	0
A choice-free proof of Mal’cev’s theorem on quasivarieties	0
Boolean rigs	0
The finite basis problem for additively idempotent semirings of order four, II	0

Correction to: Injective hulls for ordered algebras	0
On the number of universal algebraic geometries	0
Nilpotent groups in lattice framework	0
A finite representation of relation algebra $$\varvec{1896_{3013}}$$	0
Esakia duals of regular Heyting algebras	0
Jónsson Jónsson–Tarski algebras	0
Admissible subsets and completions of ordered algebras	0
Congruence-simple multiplicatively idempotent semirings	0
Finitely based congruence varieties	0
Localic transitivity	0
Lattices of retracts of direct products of two finite chains and notes on retracts of lattices	0
The modal logic of abelian groups	0
A note on the probability of a groupoid having deficient sets	0
Another look on tense and related operators	0
Mal’tsev products of varieties, II	0
A finite axiomatization of positive MV-algebras	0
Algebraic frames in which dense elements are above dense compact elements	0
Compact ICA-topobooleans and the Smirnov compactification theorem	0
Varieties with existentially definable factor congruences	0
On the Boolean algebra induced by a unital $$\ell $$-group	0
On the completeness of localic groups via generators and relations	0
The Freudenthal and other compactifications of continuous frames	0
Algebraic frames in Priestley duality	0
Choice-free duality for orthocomplemented lattices by means of spectral spaces	0
Near-unanimity-closed minions of Boolean functions	0
On minimal semiring generating sets of finitely generated commutative parasemifields	0
On k-ary parts of maximal clones	0
The Priestley duality for $$\prec $$-distributive $$\vee $$-predomains	0
Stone space partitions indexed by a poset	0
Characterizing the commutator in varieties with a difference term	0
On relatively elementary definability of graph classes in the class of semigroups	0
On fraction-dense algebraic frames	0
Weakly Schreier extensions for general algebras	0
A structure theorem for truncations on an Archimedean vector lattice	0
Catoids and modal convolution algebras	0
Topological representations of Lawson compact algebraic L-domains and Scott domains	0
Solution to two problems on ideally conjunctive join-semilattices	0
The structure of completely meet irreducible congruences in strongly Fregean algebras	0
Adjoint maps between implicative semilattices and continuity of localic maps	0
u-topology and m-topology on the ring of measurable functions, generalized and revisited	0
On automorphisms of categories with applications to universal algebraic geometry	0
Bubble lattices I: Structure	0
On z-elements of multiplicative lattices	0
The assembly of a pointfree bispace and its two variations	0
Difference–restriction algebras of partial functions: axiomatisations and representations	0
Unilinear residuated lattices: axiomatization, varieties and FEP	0
Mal’tsev condition satisfaction problems for conditions which imply edge terms	0
Quasivarieties of algebras whose compact relative congruences are principal	0
Quasi-Engel varieties of lattice-ordered groups	0
Not all nilpotent monoids are finitely related	0
Saturated free algebras and almost indiscernible theories	0
Graphs of finite algebras: edges, and connectivity	0
Some generalized metric properties of n-semitopological groups	0
On the structure of modal and tense operators on a boolean algebra	0
Divisibility on certain o-groups of matrices	0
The maximal ring of quotients of $$A_d L$$	0
A frame-theoretic perspective on Esakia duality	0
On a statement of O. Frink about free pseudo-complemented meet-semilattices	0
Uniform continuity of pointfree real functions via farness and related Galois connections	0
Natural dualities for varieties generated by finite positive MV-chains	0
Characterization of self-majorizing elements in Archimedean vector lattices	0
On the representation of ordered semigroups by transformations of ordered sets	0
Universal slices of the category of graphs	0
A relatively finite-to-finite universal but not Q-universal quasivariety	0
Factor principal congruences and Boolean products in filtral varieties	0
$$\varvec{S}$$-preclones and the Galois connection $$\varvec{{}^{S}{}\textrm{Pol}}$$–$$\varvec{{}^{S}{}\textrm{Inv}}$$, Part I	0
Vaughan-Lee’s nilpotent loop of size 12 is finitely based	0
Topological representation of double Boolean algebras	0
Profinite bi-Heyting algebras	0
On core quandles	0
Free-lattice functors weakly preserve epi-pullbacks	0
Right-preordered groups from a categorical perspective	0
Acts with identities in the congruence lattice	0
Relative lengths of Maltsev conditions	0
Mitschke’s theorem is sharp	0
Joins and meets in effect algebras	0
The least left n-trinilpotent congruence on the free trioid	0
Cartesian closed varieties I: the classification theorem	0
Congruence systems in dual discriminator varieties	0
Connected topological lattice-ordered groups	0