| School of Maths, Stats & IT, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg, 3209 South Africa | Office
Tel: (27) 33 2605623
Office Fax: (27) 33 2605648 |
RESEARCH
INTERESTS:
My interests lie in Ring and Module Theory with a
focus on preradical functors on a module category and topologizing filters
on rings. A basic and broadly stated objective of my research
is to determine how much information relating to the internal structure
of a ring is carried by its topologizing filters (or equivalently, its
kernel functors). 1 have also done some work on noncommutative chain rings
and notions of 'strong' primeness in rings. The latter is inspired
by and generalizes Handelman and Lawrences' concept of a strongly prime
ring. 1 am currently investigating compact elements in the 'lattice' of
(Amitsur-Kurosh)
radical classes.
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| SELECTION
OF PUBLICATIONS:
(Full
publication lists for 1993--1996 are given
under the Departmental Research Reports)
(1). Every algebraic chain is the congruence lattice of a ring, Journal of Algebra, 162, No. 1 (1993), 95-106. (With J.G. Raftery ). (2). On uniformly strongly prime rings, Mathematica Japonica, 38, No.6 (1993), 157-1166. (3). On rings (and chain domains) with restricted completeness conditions on topologizing filters, Communications in Algebra, 22(4) (1994), 103-1113. (With J.G. Raftery ). (4). When multiplication of topologizing filters is commutative, Journal of Pure and Applied Algebra, to appear.
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