Publications of Joel Berman
Varieties with few subalgebras of powers.
Transactions of the AMS, to appear, 29 pp. 2008.
Algebras defined from ordered sets and the varieties they generate.
Order,
23(1):65--88, 2006.
MR2258461
In memory of Willem Johannes Blok 1947--2003.
Studia Logica,
83(1-3):5--14, 2006.
MR2250102
The structure of free algebras.
In Structural theory of automata, semigroups, and universal algebra,
pages 47--76. Springer, Dordrecht, 2005.
MR2210125
Generative complexity in algebra.
Mem. Amer. Math. Soc.,
175(828):viii+159, 2005.
MR2130585
In memoriam: Willem Johannes Blok 1947--2003.
Bull. Symbolic Logic,
10(3):435--437, 2004.
MR2083291
Free Łukasiewicz and hoop residuation algebras.
Studia Logica,
77(2):153--180, 2004.
MR2080237
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
Algorithms for categorical equivalence.
Math. Structures Comput. Sci.,
8(1):1--15, 1998.
MR1617307
Finite distributive lattices and doubly irreducible elements.
Discrete Math.,
178(1-3):237--243, 1998.
MR1483754
The probability of triviality.
Algebra Universalis,
38(4):422--449, 1997.
MR1626351
A computer study of $3$-element groupoids.
In Logic and algebra (Pontignano, 1994),
pages 379--429. Dekker, New York, 1996.
MR1404949
Morita equivalence of almost-primal clones.
J. Pure Appl. Algebra,
108(2):175--201, 1996.
MR1382247
Free spectra gaps and tame congruence types.
Internat. J. Algebra Comput.,
5(6):651--672, 1995.
MR1365196
Lattices with series-parallel and interval order and a generalization of Catalan numbers.
J. Combin. Math. Combin. Comput.,
16:75--85, 1994.
MR1301211
On the number of operations in a clone.
Proc. Amer. Math. Soc.,
122(2):359--369, 1994.
MR1198450
An approach to tame congruence theory via subtraces.
Algebra Universalis,
30(4):479--520, 1993.
MR1240569
The set of types of a finitely generated variety.
Discrete Math.,
112(1-3):1--20, 1993.
MR1213746
On the combinatorics of free algebras.
In Lattices, semigroups, and universal algebra (Lisbon, 1988),
pages 13--19. Plenum, New York, 1990.
MR1085062
The value of free algebras.
In Algebraic logic and universal algebra in computer science (Ames, IA, 1988),
pages 15--26. Springer, Berlin, 1990.
MR1077836
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
Free spectra of nilpotent varieties.
Algebra Universalis,
24(3):279--282, 1987.
MR931617
The Fraser-Horn and Apple properties.
Trans. Amer. Math. Soc.,
302(2):427--465, 1987.
MR891629
Extending algebras to model congruence schemes.
Canad. J. Math.,
38(2):257--276, 1986.
MR833568
Clones satisfying the term condition.
Discrete Math.,
52(1):7--29, 1984.
MR765281
Enumerating fuzzy switching functions and free Kleene algebra.
Comput. Math. Appl.,
10(1):25--35, 1984.
MR727911
Free spectra of $3$-element algebras.
In Universal algebra and lattice theory (Puebla, 1982),
pages 10--53. Springer, Berlin, 1983.
MR716173
A combinatorial fact about free algebras.
Algebra Universalis,
15(2):145--152, 1982.
MR686797
Definable principal congruence relations: kith and kin.
Acta Sci. Math. (Szeged),
44(3-4):255--270 (1983), 1982.
MR684382
Elementary classes of varieties.
Houston J. Math.,
7(4):473--492, 1981.
MR658563
Interval lattices and the amalgamation property.
Algebra Universalis,
12(3):360--375, 1981.
MR624302
Free lattices in some small varieties.
Algebra Universalis,
10(3):269--289, 1980.
MR564117
A proof of Lyndon's finite basis theorem.
Discrete Math.,
29(3):229--233, 1980.
MR560765
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
Distributive lattices with an additional unary operation.
Aequationes Math.,
16(1-2):165--171, 1977.
MR0480238
A model theoretic approach to Malcev conditions.
J. Symbolic Logic,
42(2):277--288, 1977.
MR0480006
Optimizing the arrangement of points on the unit sphere.
Math. Comp.,
31(140):1006--1008, 1977.
MR0478006
Cardinalities of finite distributive lattices.
Mitt. Math. Sem. Giessen,
Heft 121:103--124, 1976.
MR0485609
Varieties and finite closure conditions.
Colloq. Math.,
35(1):15--20, 1976.
MR0401600
The number of subdirectly irreducible algebras in a variety.
Algebra Universalis,
5(3):379--389, 1975.
MR0392765
A note on homogeneous lattices.
Colloq. Math.,
33(2):201--202, 304, 1975.
MR0392708
Finitely generated pseudocomplemented distributive lattices.
J. Austral. Math. Soc.,
19:238--246, 1975.
MR0389697
The Kuratowski closure-complement problem.
Amer. Math. Monthly,
82(8):841--842, 1975.
MR0388305
Algebras with modular lattice reducts and simple subdirectly irreducibles.
Discrete Math.,
11:1--8, 1975.
MR0360391
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
Sublattices of intervals in relatively free lattices.
Algebra Universalis,
2:174--176, 1972.
MR0311520
On the congruence lattices of unary algebras.
Proc. Amer. Math. Soc.,
36:34--38, 1972.
MR0309833
On the length of the congruence lattice of a lattice.
Algebra Universalis,
2:18--19, 1972.
MR0304246
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