Publications of Joel Berman
On Dedekind numbers and two sequences of Knuth.
J. Integer Seq.,
24(Art 21.10.7): 18 pp, 2021.
Maximal n-generated subdirect products.
International Journal of Algebra and Computation,
26(1):123-155, 2016.
Fully invariant and verbal congruence relations.
Algebra Universalis,
70(1):71--94, 2013.
MR3073940
Upper bounds on the sizes of finitely generated algebras.
Demonstratio Math.,
44(3):447--471, 2011.
MR2866578
Varieties with few subalgebras of powers.
Trans. Amer. Math. Soc.,
362(3):1445--1473, 2010.
MR2563736
In memory of Willem Johannes Blok 1947--2003.
Studia Logica,
83(1-3):5--14, 2006.
MR2250102
Algebras defined from ordered sets and the varieties they generate.
Order,
23(1):65--88, 2006.
MR2258461
Generative complexity in algebra.
Mem. Amer. Math. Soc.,
175(828):viii+159, 2005.
MR2130585
The structure of free algebras.
In Structural theory of automata, semigroups, and universal algebra,
pages 47--76. Springer, Dordrecht, 2005.
MR2210125
Free Łukasiewicz and hoop residuation algebras.
Studia Logica,
77(2):153--180, 2004.
MR2080237
In memoriam: Willem Johannes Blok 1947--2003.
Bull. Symbolic Logic,
10(3):435--437, 2004.
MR2083291
Irreducible elements and uniquely generated algebras.
Discrete Math.,
245(1-3):63--79, 2002.
MR1887049
Stipulations, multivalued logic, and De Morgan algebras.
Mult.-Valued Log.,
7(5-6):391--416, 2001.
MR1901122
Counting finite algebras in the Post varieties.
Internat. J. Algebra Comput.,
10(3):323--337, 2000.
MR1759183
Categorical equivalence of modes.
Discuss. Math. Algebra Stochastic Methods,
19(1):41--62, 1999.
MR1701735
Finite distributive lattices and doubly irreducible elements.
Discrete Math.,
178(1-3):237--243, 1998.
MR1483754
Algorithms for categorical equivalence.
Math. Structures Comput. Sci.,
8(1):1--15, 1998.
MR1617307
The probability of triviality.
Algebra Universalis,
38(4):422--449, 1997.
MR1626351
Morita equivalence of almost-primal clones.
J. Pure Appl. Algebra,
108(2):175--201, 1996.
MR1382247
A computer study of $3$-element groupoids.
In Logic and algebra (Pontignano, 1994),
pages 379--429. Dekker, New York, 1996.
MR1404949
Free spectra gaps and tame congruence types.
Internat. J. Algebra Comput.,
5(6):651--672, 1995.
MR1365196
On the number of operations in a clone.
Proc. Amer. Math. Soc.,
122(2):359--369, 1994.
MR1198450
Lattices with series-parallel and interval order and a generalization of Catalan numbers.
J. Combin. Math. Combin. Comput.,
16:75--85, 1994.
MR1301211
The set of types of a finitely generated variety.
Discrete Math.,
112(1-3):1--20, 1993.
MR1213746
An approach to tame congruence theory via subtraces.
Algebra Universalis,
30(4):479--520, 1993.
MR1240569
Equational dependencies.
J. Inform. Process. Cybernet,
28:213-223, 1992.
The value of free algebras.
In Algebraic logic and universal algebra in computer science (Ames, IA, 1988),
pages 15--26. Springer, Berlin, 1990.
MR1077836
On the combinatorics of free algebras.
In Lattices, semigroups, and universal algebra (Lisbon, 1988),
pages 13--19. Plenum, New York, 1990.
MR1085062
Generalizations of Tarski's fixed point theorem for order varieties of complete meet semilattices.
Order,
5(4):381--392, 1989.
MR1010387
Finite algebras with large free spectra.
Algebra Universalis,
26(2):149--165, 1989.
MR999222
Positive Boolean dependencies.
Inform. Process. Lett.,
27(3):147--150, 1988.
MR933276
Concrete representations of lattices and the fundamental order.
In Classification theory (Chicago, IL, 1985),
pages 24--31. Springer, Berlin, 1987.
MR1033021
The Fraser-Horn and Apple properties.
Trans. Amer. Math. Soc.,
302(2):427--465, 1987.
MR891629
Free spectra of nilpotent varieties.
Algebra Universalis,
24(3):279--282, 1987.
MR931617
Extending algebras to model congruence schemes.
Canad. J. Math.,
38(2):257--276, 1986.
MR833568
Enumerating fuzzy switching functions and free Kleene algebra.
Comput. Math. Appl.,
10(1):25--35, 1984.
MR727911
Clones satisfying the term condition.
Discrete Math.,
52(1):7--29, 1984.
MR765281
Free spectra of $3$-element algebras.
In Universal algebra and lattice theory (Puebla, 1982),
pages 10--53. Springer, Berlin, 1983.
MR716173
Definable principal congruence relations: kith and kin.
Acta Sci. Math. (Szeged),
44(3-4):255--270 (1983), 1982.
MR684382
A combinatorial fact about free algebras.
Algebra Universalis,
15(2):145--152, 1982.
MR686797
Interval lattices and the amalgamation property.
Algebra Universalis,
12(3):360--375, 1981.
MR624302
Elementary classes of varieties.
Houston J. Math.,
7(4):473--492, 1981.
MR658563
A proof of Lyndon's finite basis theorem.
Discrete Math.,
29(3):229--233, 1980.
MR560765
Free lattices in some small varieties.
Algebra Universalis,
10(3):269--289, 1980.
MR564117
Algebraic properties of k-valued logics.
In Proceedings of the tenth international symposium on multiple-valued logic,
pages 195-204. 1980.
Uniform representations of congruence schemes.
Pacific J. Math.,
76(2):301--311, 1978.
MR0491411
Optimizing the arrangement of points on the unit sphere.
Math. Comp.,
31(140):1006--1008, 1977.
MR0478006
A model theoretic approach to Malcev conditions.
J. Symbolic Logic,
42(2):277--288, 1977.
MR0480006
Distributive lattices with an additional unary operation.
Aequationes Math.,
16(1-2):165--171, 1977.
MR0480238
Varieties and finite closure conditions.
Colloq. Math.,
35(1):15--20, 1976.
MR0401600
Cardinalities of finite distributive lattices.
Mitt. Math. Sem. Giessen,
Heft 121:103--124, 1976.
MR0485609
Algebras with modular lattice reducts and simple subdirectly irreducibles.
Discrete Math.,
11:1--8, 1975.
MR0360391
The Kuratowski closure-complement problem.
Amer. Math. Monthly,
82(8):841--842, 1975.
MR0388305
Finitely generated pseudocomplemented distributive lattices.
J. Austral. Math. Soc.,
19:238--246, 1975.
MR0389697
A note on homogeneous lattices.
Colloq. Math.,
33(2):201--202, 304, 1975.
MR0392708
The number of subdirectly irreducible algebras in a variety.
Algebra Universalis,
5(3):379--389, 1975.
MR0392765
Homogeneous lattices and lattice-ordered groups.
Colloq. Math.,
32:13--24, 1974.
MR0357258
Congruence relations of pseudocomplemented distributive lattices.
Algebra Universalis,
3:288--293, 1973.
MR0401571
On the length of the congruence lattice of a lattice.
Algebra Universalis,
2:18--19, 1972.
MR0304246
On the congruence lattices of unary algebras.
Proc. Amer. Math. Soc.,
36:34--38, 1972.
MR0309833
Sublattices of intervals in relatively free lattices.
Algebra Universalis,
2:174--176, 1972.
MR0311520
Strong congruence lattices of finite partial algebras.
Algebra Universalis,
1:133--135, 1971/72.
MR0308011
Volumes of polyhedra inscribed in the unit sphere $E^{3}$.
Math. Ann.,
188:78--84, 1970.
MR0266052
Congruence lattices fo finite universal algebras.
University of Washington, 1970. PhD thesis.