William Smith's Home Page

I am a Professor in the Mathematics Department.

Education

Academic Positions Held

University of North Carolina at Chapel Hill
    Professor (1979 - present)
    Associate Professor (1971 - 1979)
    Assistant Professor (1965 - 1971)
    Mathematics Department Chair (1976 - 1981)
    Special Assistant to the Provost (1996 - 1999)
    Associate Provost for Academic Affairs (1999 - 2000)
    Mathematics Department Interim Chair (1/1/2005 - 6/30/2005)

How to find me.

• My office is in Phillips Hall 384. My office phone number is: (919) 962-9611.
• You can also email me at wwsmith@email.unc.edu.
• I will not be teaching during the 2007 Fall Term
  

My research interests

Memberships

Recent Publications and Preprints

1. (with Anderson,D.F. and Chapman,S.) "Factorization Sets and Half-Factorization Sets", J. of Algebra, 178 (1995), 92-121.
2. (with Anderson, D.F., Cahen, P.J., and Chapman, S.) "Some Factorization Properties of the Ring of Integer-Valued Polynomials", Zero-Dimensional Commutative Rings, Marcel Deker, (1995), 125-142.
3. (with Anderson,D.F. and Chapman,S.) "Overrings of Half-Factorial Domains II", Communications in Algebra, 23 (1996) 3961-3976.
4. (with Chapman, S.) "Finite Cyclic Groups and the k-HFD Property", Colloquium Mathematicum, 70(1996)219-226.
5. (with Gilmer, R. and Heinzer, W.) "On the Distribution of Prime Ideals Within the Ideal Class Group", Houston J. of Mathematics, 22(1996)51-59.
6. (with Chabert, J. and Chapman, S.) "A Basis for the Ring of Polynomials Integer-valued on Prime Numbers," Factorizations in Integral Domains, Lecture Notes in Pure and Applied Mathematics, Volume 189 (1997) 271-284, Marcel Deker
7. (with Cahen, P., Chapman, S. and Roegner, K.) "Two Classes of Ideals Determined by Integer-Valued Polynomials", Rendiconti di Mathematica, 16(1996)625-636.
8. (with Chabert, J. and Chapman, S.) "Algebraic Properties of the Ring of Integer-Valued Polynomials on Prime Numbers", Communications in Algebra, 25(1997)1945-1959.
9. (with Chapman, S.) "Generators of Maximal Ideals in the Ring of Integer-Valued Polynomials" Rocky Mountain J. of Mathematics, 28(1998) 95-105.
10. (with Chabert, J. and Chapman, S.) "The Skolem Property in Rings of Integer-Valued Polynomials" Proc. of AMS, 126 (1998) 3151-3159
11. (with Chapman, S.) "Generalized Sets of Lengths," J. of Algebra, 200 (1998) 449-471
12. (with S. Chapman, M. Freeze)"Minimal Zero-Sequences and the Strong Davenport Constant," Discrete Mathematics, 203(1999)271-277
13. (with R. Gilmer) "On the Polynomial Equivalence of Subsets E and f(E) of Z," Archiv der Mathematik, 73(1999) 355-365
14. (with Chapman, S. and Freeze, M.) "On Generalized Lengths of Factorizations in Dedekind and Krull Domains," Non-Noetherian Commutative Ring Theory (Chapter 6), Kluwer Academic Publishers (2000)
15. (with Chapman, S.) "An Arithmetical Characterization of Finite Elementary 2-Groups" Communications in Algebra, 29 (2001) 1249-1257
16. (with Chapman, S. and Freeze, M.) "Equivalence Classes of Minimal Zero-Sequences Modulo a Prime," Ideal Theoretic Methods in Commutative Algebra Lecture Notes in Pure and Applied Mathematics, Marcel Deker,220 (2001)
17. (with Chapman, S. and Loper, A.) "The Strong Two-Generator Property in Rings of Integer-Valued Polynomials Determined by Finite Sets," Archiv der Mathematik, 78 (2002) 97-105
18. (with Freeze, M.) "Sumsets of Zerofree Sequences," Arabian J. for Science and Engineering, 26 (2001) 97-105
19. (with Chapman, S. and Loper, A.) "Strongly Two-generated Ideals in Rings of Integer-valued Polynomials Determined by Finite Sets" CR Math Rep Acad Sci Canada 26(2004)33-38.
    
20. (with Chapman, S.) "On Factorization in Block Monoids Formed by {1,a} in Z mod n" Proc Edinburgh Math Soc, 46(2003)257-267
    
21. (with Chapman, S., Freeze, M., Gao, WD) "On Davenport's Constant of Finite Abeliam Groups" Far East J Math Sci, 5(2002) 47-54
22. (with Chapman, S.) "Restricted Elasticity and Rings of Integer-Valued Polynomials Determined by Finite Sets",  Monatshefte fur Mathematik, 148(2006) 195-203
    
23. (with Chapman, S.) "A Characterization of Minimal Zero Sequences of Index One in a Finite Cyclic Group", Integers 5(2005)#A27
24. (with Chang, S., Chapman, S.) "Elasticity in Certain Block Monoids Via the Euclidean Table" (accepted - Mathematica Slovaca)
25. (with Chapman, S., Ponomarenko, V) "Robert Gilmer's Contributions to the Theory of Integer-Valued Polynomials"  Multiplicative Ideal Theory in Commutative Algebra,  Springer Pub.Company (2006) 109 - 122
26. (with Coykendall, J.) "On Unique Factorization Domains" (submitted)
27. (with Chapman, S.) "An Inequality Concerning the Elasticity of Krull Monoids with Divisor Class Group Z mod p" (accepted - Ricerche di Matematica)
28. (with Chang, S., Chapman, S.) "On Minimum Delta Set Values in Block Monoids Over Cyclic Groups" The Ramamujan Journal 14(2007) 155-171.
    
29. (with Chapman, S., Schmid, W.) "Quasi-Half-Factorial Subsets of Abelian Torsion Groups" (accepted -- Houston J. Math.)
30. (with Chapman, S. & Schmid, W.) "On Minimal Distances in Krull Monoids withInfinite Class Group" (submitted)