College of Arts and Science Vanderbilt University
Vanderbilt Univeristy College of Arts and Science
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Matthew Gould Publications

"On extensions of Schreier's theorem to universal algebras," Studia Scientiarum Mathematicarum Hungarica, 1 (1996), pp. 369-377.

(With G. Gratzer), "Boolean extensions and normal subdirect powers of finite universal algebras," Mathematische Zeitschrift, 99 (1967), pp. 16-25.

"Multyiplicity type and subalgebra structure in universal algebras," Pacific Journal of Mathematics, 26 (1968), pp. 460-485.

"On versatile monoids of endomorphisms," Proceedings of the October 1969 Conference on Universal Algebra, Queens University, Kingston, Ontario (1970), pp. 246-257.

(With C. Platt), "Versatile monoids and versatile categories," Algebra Universalis, 1 (1971), pp. 54-62.

(With C. Platt), "Semilattice maps induced by homomorphisms of algebras," Algebra Universalis, 1 (1971), pp. 90-92.

"Multiplicity type and subalgebra structure in infinitary universal algebras," Colloquium Mathematicum, 24 (1971), pp. 109-116.

"A note on automorphisms of groupoids," Algebra Universalis, 2 (1972), pp. 54-56.

"Automorphism groups of algebras of finite type," Canadian Journal of Mathematics, 6 (1972), pp. 1065-1069.

"Subalgebra maps induced by endomorphisms and automorphisms of algebras," Algebra Universalis, 2 (1972), pp. 88-94.

"Automorphism and subalgebra structure in algebras of finite type," Algebra Universalis, 2 (1972), pp. 369-374.

"Representable epimorphisms of monoids," Compositio Mathematica, 29 (1974), pp. 213-222.

"Endomorphism and automorphism structure of direct squares of universal algebras," Pacific Journal of Mathematics, 59 (1975), pp. 69-84.

"An equation spectrum giving cardinalities of endomorphism monoids," Canadian Mathematical Bulletin, 18 (1975), pp. 427-429.

"An easy proof of Ponizovski's theorem," Semigroup Forum, 15 (1977), pp. 181-182.

"Automorphism groups of free algebras and direct powers," Colloquia Mathematica Societatis Janos Bolyai, 29, Universal Algebra, Esztergom, Hungary 1997 (appeared 1982), pp. 331-334.

(With H.H. James), "Automorphism groups retracting onto symmetric groups," Pacific Journal of Mathematics, 81 (1979), pp. 93-100.

(With R.E. Richardson), "Translational hulls of polynomially related semigroups," Czechoslovak Mathematical Journal, 33 (1983), pp. 95-100.

"Rectangular bands in universal algebra: two applications," Acta Sci. Math. Szeged, 44 (1982), pp. 271-279.

(With J.A. Iskra), "Globally determined classes of semigroups," Semigroup Forum, 28 (1984), pp. 1-11.

(With J.A. Iskra), "Embedding in globals of groups and semilattices," Semigroup Forum, 28 (1984), pp. 61-71.

(With J.A. Iskra and C. Tsinakis), "Globally determined lattices and semilattices," Algebra Universalis, 19 (1984), pp. 137-141.

(With J.A. Iskra and C. Tsinakis), "Globals of completely regular periodic semigroups," Semigroup Forum, 29 (1984), pp. 365-374.

(With J.A. Iskra and P.P. Palfy), "Embedding in globals of finite semilattices," Czechoslovak Mathematical Journal, 36 (1986), pp. 87-92.

(With A.C. Morel and C. Tsinakis), "Cofinality of algebras," Algebra Universalis, 22 (1986), pp. 253-278.

(With A.C. Morel and C. Tsinakis), "Cofinality in universal algebra," Proceedings of the First International Symposium on Ordered Algebraic Structures, Marseilles 1984 (appeared 1987), pp. 303-311.

(With M.E. Adams), "Posets whose monoids of order-preserving maps are regular," Order, 6 (1989), pp. 195-201; "Corrigendum," Order, 7 (1990), pp. 105.

(With M.E. Adams), "A construction for pseudocomplemented semilattices and two applications," Proceedings of the American Mathematical Society, 106 (1989), pp. 899-905.

(With M.E. Adams and S.T. Tschantz), "The congruence class of an indepotent in a regular semigroup," Semigroup Forum, 42 (1990), pp. 121-123.

(With M.E. Adams), "Finite semilattices whose monoids of endomorphisms are regular," Transactions of the American Mathematical Society, 332 (1992), pp. 647-665.

(With M.E. Adams, S. Bulman-Fleming, and A. Wildsmith), "Finite semilattices whose non-invertible endomorphisms are products of idempotents," Proceedings of the Royal Society of Edinburgh, 124A (1994), pp. 1193-1198.

(With M.E. Adams, W. Dziobiak, and J. Schmid), "Quasivarieties of pseudocomplemented semilattices," Fundamenta Mathematice, 146 (1995), pp. 295-312.

(With M.E. Adams), "Endomorphism monooids of pseudocomplemented semilattices, Acta Sci. Math. Szeged, 61 (1995), pp. 3-21.

(With M.E. Adams and S. Bulman-Fleming), "Endomorphism properties of algebraic structures, Proceedings of the Tennessee Topology Conference, World Scientific (1997), pp. 1-17.

(With S.J. Boyd and A. Nelson), "Interassociativity of semigroups," Proceedings of the Tennessee Topology Conference, World Scientific (1997), pp. 33-51.

(With S.J. Boyd), "Interassociativity and isomorphism," Pure Mathematics and Applications, 10 (1999), pp. 23-30.

(With M.E. Adams), "Finite posets whose monoids of endomorphisms are abundant," Acta Sci. Math. Szeged, 67 (2001), pp. 3-37.

(With K. A. Linton and A. Nelson), "Interassociates of monogenic semigroups," Semigroup Forum, 68 (2004), 186-201.