Algebra, Number Theory, and Combinatorial Theory: 
David A. Smith

• “On fixed points of automorphisms of classical Lie algebras,” Pacific Journal of Mathematics 14 (l964), 1079-1089
• “Chevalley bases for Lie modules,” Transactions of the American Mathematical Society 115 (1965), 283-299
• “The real roots of the equation (x - 1)^k = x^k-1,” American Mathematical Monthly 73 (1966), 754-757
• “A basis algorithm for finitely generated abelian groups,” Mathematical Algorithms 1 (1966), 13-26
• “On semigroups, semirings, and rings of quotients,” Journal of Science of the Hiroshima University Ser. A-l, 30 (1966), 123-130
• “Incidence functions as generalized arithmetic functions I,” Duke Mathematical Journal 34 (1967), 617-634
• (with A. Giovannini), “On algebraic structures associated with the 3-j and 6-j symbols,” in F. Bloch, et al. (eds.), Spectroscopic and Group Theoretical Methods in Physics, Racah Memorial Volume, Amsterdam: North-Holland Publishing Co., 1968, pp. 87-97
• “Circularly generated abelian groups,” Fibonacci Quarterly 6 (1968), 36-45
• “On the construction of a distributive lattice from a partially ordered set with DCC,” Commentationes Mathematicae Universitatis Carolinae 9 (l968), 515-525
• “Incidence functions as generalized arithmetic functions II,” Duke Mathematical Journal 36 (1969), 15-30
• “Incidence functions as generalized arithmetic functions III,” Duke Mathematical Journal 36 (1969), 353-368
• “Multiplication operators on incidence algebras,” Indiana University Journal of Mathematics 20 (1970), 369-383
• “Bivariate function algebras on posets,” Journal fuer die reine und angewandte Mathematik 251 (l971), 100-109
• (with G.-C. Rota) “Fluctuation theory and Baxter algebras,” Symposia Mathematica 9 (1972), 179-201
• “Generalized arithmetic function algebras,” in The Theory of Arithmetic Functions, Lecture Notes in Mathematics 251, Berlin: Springer-Verlag, 1972, 205-245
• (with G.-C. Rota) “Enumeration under group action,” Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Serie IV, 4 (1977), 637-646. Reprinted in Raccolta Degli Scritti Dedicati a Jean Leray, Pisa: Scuola Normale Superiore, 1978, 497-506

Last modified: May 23, 1996