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 = xk-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
David A. Smith <das@math.duke.edu>
Last modified: May 23, 1996