Publications



This is a list of my mathematical publications to date. The co-authors marked below are pictured elsewhere.

[77] Splitting properties in archimedean l-groups (with P. Conrad and O. Kenny), J. Austral. Math. Soc. 23 (1977), 247-256.

[79] The essential closure of C(X) Proc. Amer. Math. Soc. 76 (1979), 8-10.

[80a] The root system of primes of a Hahn group (with O. Kenny), J. Austral. Math. Soc. 29 (1980), 17-28.

[80b] Locally flat vector lattices Canad. J. Math. 32 (1980), 924-938.

[81a] Epicomplete l-groups (with P. Conrad), Algebra Universalis 12 (1981), 224-241.

[81b] Lattice properties of the symmetric weakly inverse semigroup on a totally ordered set (with C. C. Edwards), J. Austral. Math. Soc. 31 (1981), 395-404.

[82] The hulls of C(Y) (with P. Conrad), Rocky Mtn. J. Math.12 (1982), 7-22.

[83a] Unions of l-groups (with C. C. Edwards), Kyungpook J. Math. 23 (1983), 91-97.

[83b] Vector lattices with no proper a-subspaces (with P. Conrad and P. Bixler), Arch. Math. (Basel) 41 (1983), 427-433.

[84] A representation theorem for distributive l-monoids (with C. C. Edwards), Canad. Math. Bull. 27 (1984), 238-240.

[85a] Wreath products of graphs (with M. Lipman ), 23-40 in Graphs and Applications: Proceedings of the First Colorado Symposium on Graph Theory, F. Harary and J. Maybee, editors; John Wiley, 1985.

[85b] Partially ordered semigroups with an abundance of principal idempotents 1-5 in Ordered Algebraic Structures, W.Powell and C. Tsinakis, editors; Marcel Dekker, 1985.

[86] Archimedean equivalence for strictly positive lattice-ordered semigroups Czech. Math. J. 36 (110) (1986), 18-27.

[87a] Coherence of power series rings over pseudo-Bezout domains (with J. Watkins ), J. Algebra 107 (1987), 187-194.

[87b] Achievement and avoidance games for generating abelian groups (with F. Harary), Intl. J. Game Theory 16 (1987),321-325.

[88] Lattice-ordered Groups: an Introduction (with T. Feil ), D.Reidel, 1988.

[89a] The lattice of convex l-subgroups of a lattice-ordered groups (with P. Conrad and J. Martinez ), 105-127 in Lattice-ordered Groups: Advances and Techniques, A. Glass and C.Holland, Kluwer Academic Publishers, Dordrecht, 1989.

[89b] Lattice-ordered groups of divisibility: an expository survey 3-10 in Ordered Algebraic Structures, J. Martinez, editor, Kluwer, Dordrecht, 1989.

[91] A variety of lattice-ordered groups containing all representable covers of the abelian variety (with M. Darnel and T. Feil), Order 7 (1991), 401-405.

[94a] A First Course in Abstract Algebra: Rings, Groups and Fields (with T. Feil), Prindle, Weber & Schmidt, New York, 1994.

[94b] Number Theory Horseshoes (with S. Janke and J. Watkins), Mathematics Teacher 87(1994), 669.

[98] Turning Lights Out with Linear Algebra (with T. Feil), Mathematics Magazine 71(1998), 300-303.

[04] Sherlock Holmes in Babylon and Other Tales of Mathematical History (with Victor Katz and Robin Wilson), MAA, Washington D.C., 2004.

[05] A First Course in Abstract Algebra: Rings, Groups and Fields (with T. Feil), Chapman & Hall, 2005 (a major revision of [94a]). 

[06] Book Review of Musings of the Masters, Historica Mathematica, 2006.  

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