William Smith's
Home Page
Education
Lubbock
Christian College
Southeastern State College (Oklahoma) B.S. in Ed, 1961
Louisiana State University M.S. (1963), Ph.D. (1965)
Academic Positions Held
University of North Carolina at Chapel Hill
Professor Emeritus (2009 –
Present)
Professor (1979 - 2009)
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 research
interests
Research
interests center around general problems in commutative ring theory. Earlier
work focused on Prufer and Dedekind domains. Recent work has been in the areas
of rings of integer-valued polynomials and factorization of elements in
commutative rings and monoids.
Memberships
American
Mathematical Society
Mathematical Association of America
North Carolina Council of Mathematics Teachers
American Association of University Professors
Phi Kappa Phi
Recent Publications
and Preprints
- (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)
- (with Chapman, S.) "An Arithmetical
Characterization of Finite Elementary 2-Groups" Communications in
Algebra, 29 (2001) 1249-1257
- (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)
- (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
- (with Freeze, M.) "Sumsets of Zerofree
Sequences," Arabian J. for Science and Engineering, 26 (2001) 97-105
- (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.
- (with Chapman, S.) "On Factorization in Block
Monoids Formed by {1,a} in Z mod n" Proc Edinburgh Math Soc,
46(2003)257-267
- (with Chapman, S., Freeze, M., Gao, WD) "On
Davenport's Constant of Finite Abeliam Groups" Far East J Math Sci,
5(2002) 47-54
- (with Chapman, S.) "Restricted Elasticity and
Rings of Integer-Valued Polynomials Determined by Finite Sets",
Monatshefte fur Mathematik, 148(2006) 195-203
- (with Chapman, S.) "A Characterization of Minimal
Zero Sequences of Index One in a Finite Cyclic Group", Integers
5(2005)#A27
- (with Chang, S., Chapman, S.) "Elasticity in
Certain Block Monoids Via the Euclidean Table" Mathematica
Slovaca 57(2007)415-454
- (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
- (with Coykendall, J.) "On Unique Factorization
Domains" (submitted)
- (with Chapman, S.) "An Inequality Concerning the
Elasticity of Krull Monoids with Divisor Class Group Z mod p"
Ricerche di Matematica 56(2007)107-117
- (with Chang, S., Chapman, S.) "On Minimum Delta
Set Values in Block Monoids Over Cyclic Groups" The Ramamujan
Journal 14(2007) 155-171.
- (with Chapman, S., Schmid, W.)
"Quasi-Half-Factorial Subsets of Abelian Torsion Groups" Houston
J. Math. 35(2009)13-22.
- (with Chapman, S. & Schmid, W.) "On Minimal
Distances in Krull Monoids withInfinite Class Group" Bull Lon Math
Soc 40(2008)613-618.
- (with Anderson, D.F., Chapman, S.) "On a Property
of the Division Algorithm and its Application to the Theory of Non-Unique
Factorizations" (accepted -- Elemente der Mathematik)
For
comments/suggestions about this page, mail
wwsmith@email.unc.edu
Last
modified: 13 August 2009