


Commutative Algebra “has developed from
two sources: (1) Algebraic Geometry and (2) Algebraic Number theory. In
(1), the prototype of the rings studied is the ring of polynomials in
several variables over a field; in (2), it is the ring of rational
integers. Of these two, the algebrageometric case is the more
farreaching and, in its modern development by Grothendieck, it embraces
much of algebraic number theory. Commutative Algebra is now one of the
foundation stones of this new algebraic geometry. It provides the
complete local tools for the subject in much the same way as
differential analysis provides the tools for differential geometry.” [Atiyah
 MacDonald, Introduction to Commutative Algebra]
The credit for raising Commutative
Algebra to a fullyfledged branch of mathematics belongs to many famous
mathematicians; including Ernst Kummer (18101893), Leopold Kronecker
(18231891), Richard Dedekind (18311916), David Hilbert (18621943),
Emanuel Lasker (18681941), Emmy Noether (18821935), Emil Artin
(18981962), Wolfgang Krull (18991971), and Van Der Waerden
(19031996). Nowadays, Commutative Algebra is rapidly growing and
developing in many different directions. It has multiple connections
with such diverse fields as complex analysis, topology, homological
algebra, algebraic number theory, algebraic geometry, finite fields, and
computational algebra.
KSA has vast resources along with the
potential to become a leader in the region in basic science and
mathematics which are the pillars of a knowledgebased society. King
Fahd University of Petroleum & Minerals (KFUPM),
by virtue of its qualified faculty and infrastructure, can play an
important role in this regard.
The Commutative Algebra Research Group (CARG), as a
Universityfunded research group,
aims at strengthening research and graduate teaching as well as
acquiring a national and international reputation for excellence in
Commutative Algebra and related fields.
