**81.**
Keith A. Kearnes,
Ágnes
Szendrei and Ross
D. Willard,
*A finite basis theorem for finite algebras with a difference term.*
Trans. Amer. Math. Soc. **368** (2016),
no. 3, 2115-2143.
PDF file for
preprint.

**78-80.**
Keith A. Kearnes,
Emil W.
Kiss and
Ágnes
Szendrei,
*Growth rates of algebras,
I (J. Aust. Math. Soc.),
II (Internat. J.
Algebra and Comput.),
&
III
(Algebra Universalis) *
(Click on the number of the paper you want.)

**77.**
Keith A. Kearnes,
Petar Marković,
and
Ralph N. McKenzie,
*Optimal strong Mal'cev conditions for omitting type
***1** in locally finite varieties.
Algebra Universalis **72** (2014), no. 1, 91--100.
PDF file for
preprint.

**76.**
Georg Grasegger,
Gábor Horváth and
Keith A. Kearnes,
*Polynomial equivalence of finite rings.
*
Journal of the Australian Mathematical Society.
**96** (2014), no. 2, 244--257.
PDF file for
preprint.

**75.**
Keith A. Kearnes and
Greg Oman,
* Jónnson posets and Jónnson unary algebras.*
Algebra Universalis **69** (2013), no. 2, 101--112.
PDF file for
preprint.

**74.**
Topaz Dent, Keith A. Kearnes and
Ágnes Szendrei
Ágnes Szendrei,
*An easy test for congruence modularity.
*
Algebra Universalis **67** (2012), no. 4, 375--392.
PDF file for
preprint.

**73.**
Mike Behrisch,
Miguel Couceiro,
Keith A. Kearnes,
Erkko Lehtonen and
Ágnes Szendrei,
* Commuting polynomial operations of distributive lattices.
*
Order **29** (2012), no. 2, 245--269.
PDF file for
preprint.

**72.**
Keith A. Kearnes and
Ágnes Szendrei,
* Clones of algebras with parallelogram terms.*
Internat. J. Algebra Comput. **22**
(2012).
PDF file for
preprint.

**71.**
Keith A. Kearnes and
Greg Oman,
* Cardinalities of residue fields of Noetherian integral domains.*
Comm. Algebra **38** (2010), no. 8, 3580--3588.
PDF file for
preprint.

**70.**
Keith A. Kearnes and Young Jo Kwak, *
Residually finite varieties of nonassociative algebras.*
Comm. Algebra **38** (2010), no. 8, 3705--3727.
PDF file for
preprint.

**69.**
Keith A. Kearnes, * An axiomatic formation that is not a variety. *
J. Group Theory **13** (2010), no. 2, 233--241.
PDF file for
preprint.

**68.**
Keith A. Kearnes, * On the functional completeness of simple tournaments.*
Algebra Universalis **61** (2009), no. 3-4, 475--478.
PDF file for
preprint.

**67.**
Pawel
Idziak, Keith A. Kearnes, Emil W. Kiss and Matthew A. Valeriote,
* Definable principal congruences and
solvability. * Ann. Pure Appl. Logic **57** (2009), 30--49.
PDF
file for preprint.

**66.**
Keith A. Kearnes, Jason Shaw and Ágnes Szendrei,
* Clones of 2-step nilpotent groups.*
Algebra Universalis **59** (2008), no. 3.4, 491--512.
PDF file for
preprint.

**65.**
Keith A. Kearnes and J. B.
Nation, * Axiomatizable congruence prevarieties.*
Algebra Universalis **59** (2008), no. 3-4, 323--335.
PDF file for
preprint.

**64.**
Keith A. Kearnes and Ágnes
Szendrei, * Clones closed under conjugation, I. * Internat.
J. Algebra Comput. **18** (2008), no. 1, 7--58.
PDF file for preprint.

**63.**
Keith A. Kearnes and Steven T.
Tschantz_,
* Automorphism groups of squares and of free
algebras. *
Internat. J. Algebra Comput. **17** (2007), no. 3, 461--505. PDF file for preprint.

**62.**
Keith A. Kearnes and Adam W.
Marczak, * p*_{n}-sequences of
algebras with one fundamental operation. Algebra Universalis **56**
(2007), 69--75.
PDF file for
preprint.

**61.**
Keith A. Kearnes, * Quasivarieties of modules over path algebras of
quivers. * Studia Logica **83** (2006), 333--349.
PDF file for
preprint.

**60.**
Keith A. Kearnes and Emil
W. Kiss, * The triangular principle is equivalent to the
triangular scheme. * Algebra Universalis **54**
(2005), no. 3, 273--283.
PDF file for
preprint.

**59.**
Keith A. Kearnes, * Congruence lattices of locally finite algebras. *
Algebra Universalis **54** (2005), no. 2, 237--248.
PDF file for
preprint.

**58.**
Keith A. Kearnes and Ágnes
Szendrei, * Clones of finite groups. * Algebra Universalis **54**
(2005), no. 1, 23--52.
PDF file for preprint.
Corrigendum (10/26/08).

**57.**
Keith A. Kearnes and Ágnes
Szendrei, * Groups with identical subgroup lattices in all
powers. * J. Group Theory **7** (2004), no. 3,
385--402.
PDF file for
preprint.

**56.**
LeAnne Conaway and Keith A. Kearnes, * Minimal sets in finite rings.
* Algebra Universalis **51**
(2004), 81--109.
PDF file for
preprint.

**55.**
Keith A. Kearnes and Emil
W. Kiss, * Residual smallness and weak centrality. *
Internat. J. Algebra Comput. **13** (2003), 35--59. PDF file for preprint.

**54.**
Keith A. Kearnes and Luis Sequeira
_,*
Hausdorff properties of topological algebras. * Algebra Universalis
**47** (2002), 343--366.
PDF file for
preprint.

Correction: Theorem 5 is missing "m_i(x,y,y,x) = x for all i". This is used
only in Theorem 34, and the omission in Thm 5 does not invalidate Thm 34.
(Added 1/10/11.)

**53.**
Keith A. Kearnes, Emil W.
Kiss, Ágnes
Szendrei and Ross
D. Willard,
* Chief factor sizes in finitely generated
varieties. * Canad. J. Math. **54** (2002),
736--756. PDF file for preprint.

**52.**
Keith A. Kearnes, * Congruence join semidistributivity is equivalent
to a congruence identity. * Algebra Universalis **46**
(2001), 373--387. PDF file for preprint.

**51.**
Keith A. Kearnes, Agnes
Szendrei and Japheth
Wood, * Generating singular transformations. * Semigroup
Forum **63** (2001), 441--448. PDF file for preprint.

**50.**
Keith A. Kearnes and Emil
W. Kiss, * Left and right nilpotence degree are independent. *
Contributions to General Algebra, **13** (Velké
Karlovice, 1999/Dresden, 2000), 189--198, Heyn, Klagenfurt, 2001. PDF file for preprint.

**49.**
G.
Czédli, R.
Halas, K. A. Kearnes,
P. P. Pálfy,
and Ágnes Szendrei,
* The join of two minimal clones and the meet
of two maximal clones. * Algebra Universalis **45**
(2001), 161--178.
PDF file for
preprint.

**48.**
Keith A. Kearnes and Ágnes
Szendrei, * Collapsing permutation groups. * Algebra
Universalis **45** (2001), 35--51.
PDF file for
preprint.

**47.**
Keith A. Kearnes, * Almost all minimal idempotent varieties are
congruence modular. * Algebra Universalis **44**
(2000), 39--45.
PDF file for preprint.

**46.**
Keith A. Kearnes, * Categorical quasivarieties via Morita
equivalence. * J. of Symbolic Logic. **65**
(2000), 839--856. PDF file for preprint.

**45.**
Keith A. Kearnes, * A characterization of locally finite varieties
that satisfy a nontrivial congruence identity. * Algebra
Universalis **42** (1999), 195--204. PDF file for preprint.

**44.**
Keith A. Kearnes, * Congruence modular varieties with small free
spectra. * Algebra Universalis **42**
(1999), 165--181. PDF file for preprint.

**43.**
Keith A. Kearnes and Ágnes
Szendrei, *The residual character of strictly simple term
minimal algebras. * Algebra Universalis **42**
(1999), 269--292. PDF file for preprint.

**42.**
Keith A. Kearnes and Matthew
A. Valeriote, * A modification of Polin's variety. * Algebra
Universalis **41** (1999), 229--231. PDF file for preprint.

**41.**
Keith A. Kearnes and Ágnes
Szendrei, *The classification of commutative minimal clones. *
Discuss. Math. Algebra Stochastic Methods **19** (1999),
147--178. PDF file for preprint.

**40.**
Keith A. Kearnes, *Subdirectly irreducible modes. * Discuss.
Math. Algebra Stochastic Methods **19** (1999), 129--145. PDF file for preprint.

**39.**
Keith A. Kearnes and Ross D. Willard, *
Residually finite congruence meet semidistributive varieties of finite
type have a finite residual bound. *
Proc. Amer. Math. Soc. **127**
(1999), 2841--2850. PDF file for preprint.

**38.**
Keith A. Kearnes and Emil
W. Kiss, * Finite algebras of finite complexity. * Discrete
Math. **207** (1999), 89--135. PDF
file for preprint.

**37.**
Keith A. Kearnes, Emil W.
Kiss and Matthew
A. Valeriote, * A geometric consequence of residual smallness.*
Ann. Pure Appl. Logic **99** (1999), 137--169. PDF file for preprint.

**36.**
Keith A. Kearnes and Ross D. Willard, *
Finiteness properties of locally finite abelian varieties.*
Internat. J. Algebra Comput. **9** (1999),
157--168. PDF file for preprint.

**35.**
Keith A. Kearnes and Emil
W. Kiss, * Modularity prevents tails. * Proc. Amer. Math.
Soc. **127** (1999), 11--19. PDF
file for preprint.

**34.**
Keith A. Kearnes and Ágnes
Szendrei, * Projectivity and isomorphism of strictly simple
algebras. * Algebra Universalis **39** (1998), 45--56.
PDF file for
preprint.

**33.**
Keith A. Kearnes and Ágnes
Szendrei, * The relationship between two commutators. *
Internat. J. Algebra Comput. **8** (1998), 497--531. PDF file for preprint.

**32.**
Keith A. Kearnes, Emil W.
Kiss and Matthew
A. Valeriote, * Minimal sets and varieties. * Trans. Amer.
Math. Soc. (1998), 1--41. PDF file for
preprint.

**31.**
Béla
Csákány and Keith A. Kearnes, * Algebras whose
subalgebras and reducts are trivial. * Acta Sci. Math. **63**
(1997), 377--379.

**30.**
Keith A. Kearnes and Ágnes
Szendrei, * Self-rectangulating varieties of type ***5**.
Internat. J. Algebra Comput. **7**
(1997), 511--540. PDF file for preprint.

**29.**
Keith A. Kearnes, * The class of prime semilattices is not finitely
axiomatizable. * Semigroup Forum **55** (1997),
133--134. PDF file for preprint.

**28.**
Keith A. Kearnes and Ágnes
Szendrei, * A characterization of minimal, locally finite
varieties. * Trans. Amer. Math. Soc. **349** (1997),
1749--1768. PDF file for preprint.

**27.**
Keith A. Kearnes, * A Hamiltonian property for nilpotent algebras. *
Algebra Universalis, **37** (1997),
403--421. PDF file for preprint.

**26.**
Keith A. Kearnes, * Critical algebras and the Frattini congruence,
II. * Bulletin of the Australian Mathematical Society **53**
(1996), 91--100. PDF file for preprint.

**25.**
Keith A. Kearnes and
Frank Vogt, * Bialgebraic contexts from dualities. * Journal
of the Australian Mathematical Society **60** (1996),
389--404. PDF file for preprint.

**24.**
Keith A. Kearnes, * Locally solvable factors of varieties. *
Proc. Amer. Math. Soc. **124** (1996), 3619--3625. PDF file for preprint.

**23.**
Keith A. Kearnes, * Cardinality bounds for subdirectly irreducible
algebras. * Journal of Pure and Applied Algebra **112**
(1996), 293--312. PDF file for preprint.

**22.**
Keith A. Kearnes, * Idempotent simple algebras. * in *Logic
and Algebra*, Lecture Notes in Pure and Appl. Math. **180**,
1996, 529--572. PDF file for preprint.

**21.**
Keith A. Kearnes, * Varieties with a difference term. * Journal
of Algebra **177** (1995), 926--960. PDF file for preprint.

**20.**
Keith A. Kearnes, * Minimal clones with abelian representations. *
Acta Sci. Math. **61** (1995), 59--76. PDF file for preprint.

**19.**
Keith A. Kearnes, * A quasi-affine representation. * Internat.
J. Algebra Comput. **5** (1995), 673--702. PDF file for preprint.

**18.**
Keith A. Kearnes, * Semilattice modes, II: the amalgamation
property. * Algebra Universalis **34** (1995),
273--303. PDF file for preprint.

**17.**
Keith A. Kearnes, * Semilattice modes, I: the associated semiring. *
Algebra Universalis **34** (1995), 220--272.
PDF file for
preprint.

**16.**
Keith A. Kearnes, * Every nearly idempotent plain algebra generates
a minimal variety. * Algebra Universalis **34**
(1995), 322--325.
PDF file for
preprint.

**15.**
Ralph
Freese, Keith A. Kearnes and J. B. Nation, *
Congruence lattices of congruence semidistributive algebras. * in
``Lattice Theory and its Applications'', Heldermann Verlag, 1995,
63--78. PDF file for preprint.

**14.**
Keith A. Kearnes and Ross D. Willard, *
Inherently nonfinitely based solvable algebras. * Canadian Math.
Bulletin **37**
(1994), 514--521.
PDF file for preprint.

**13.**
Paolo
Aglianò and Keith A. Kearnes, * Congruence semimodular
varieties II: regular varieties. * Algebra Universalis **32**
(1994), 270--296.
PDF file for reprint.

**12.**
Paolo
Aglianò and Keith A. Kearnes, * Congruence semimodular
varieties I: locally finite varieties. * Algebra Universalis **32** (1994), 224--269.
PDF file for reprint.

**11.**
Keith A. Kearnes, * Natural examples of quasivarieties with EDPM. *
Algebra Universalis **30** (1993), 598--600.
PDF file for preprint.

**10.**
Keith A. Kearnes, * An order-theoretic property of
the commutator. *
Internat. J. Algebra Comput. **3**
(1993), 491--533.
PDF file for preprint.

**9.**
Keith A. Kearnes, * Congruence permutable and congruence
3-permutable locally finite varieties. * Journal of Algebra **156**
(1993), 36--49.
PDF file for
preprint.

**8.**
Keith A. Kearnes and
Ralph N. McKenzie,
* Commutator theory for
relatively modular quasivarieties. * Trans. Amer. Math. Soc. **331**
(1992), 465--502.

**7.**
Keith A. Kearnes, * Type preservation in locally finite varieties
with the CEP. * Canadian Journal of Mathematics **43**
(1991), 748--769.

**6.**
Keith A. Kearnes, * Finite algebras that generate an injectively
complete variety. * Bulletin of the Australian Mathematical Society
**44** (1991), 303--324.

**5.**
Keith A. Kearnes, * Residual bounds for varieties of modules. *
Algebra Universalis **28** (1991), 448--452.
PDF file for reprint.

**4.**
Keith A. Kearnes, * Congruence lower semimodularity and 2-finiteness
imply congruence modularity. * Algebra Universalis **28**
(1991), 1--11.
PDF file for reprint.

**3.**
Keith A. Kearnes, * Relatively congruence distributive
subquasivarieties of a congruence modular variety. * Bulletin of
the Australian Mathematical Society **41** (1990),
87--96.

**2.**
Keith A. Kearnes, * Atomicity and nilpotence. * Canadian Journal
of Mathematics **42** (1990), 1--18.

**1.**
Keith A. Kearnes, * On the relationship between AP, RS and CEP. *
Proc. Amer. Math. Soc. **105** (1989), 827--839.