Grant: Discovery Grants Program - Individual
University of Lethbridge
$14,000.00
Universal and general algebra
FY 2012-13
Summary
My research is in the area of universal or general algebra, the branch of mathematics which studies the structure of objects from algebra and theoretical computer science. In universal algebra, properties of classical algebraic structures such as groups, rings and fields are abstracted and generalized, to give a common structure of operations on sets of objects, subject to various rules or identities. An algebra, therefore, is a set of objects, with some collection of operations on the objects; and an identity of the algebra is a rule or equation satisfied by all the objects in the set. I study the structure of such algebras and identities. I also study new structures called co-algebras, which can be used to model finite-state machines in theoretical computer science.
Program
Discovery Grants Program - Individual
Recipient
Location
Alberta, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
42082-2009
Name nom
Wismath, Shelly
Department département
Mathematics and Computer Science
Organization id
12
Institution établissement
University of Lethbridge
Province en
Alberta
Province fr
Alberta
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2012
Competition year année de concours
2009
Award amount
14000
Program id
RGPIN
Program name en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
336
Committee name en
Pure & Applied Maths - A
Committee name fr
Maths pures et appliquées - A
Area of application code
1200
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Advancement of knowledge
Area of application fr
Avancement des connaissances
Research subject code
2900
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Pure mathematics
Research subject fr
Mathématiques pures
Partie
4
Nb partie
5
Application title
Universal and general algebra
Keyword
NSERC
Application summary
My research is in the area of universal or general algebra, the branch of mathematics which studies the structure of objects from algebra and theoretical computer science. In universal algebra, properties of classical algebraic structures such as groups, rings and fields are abstracted and generalized, to give a common structure of operations on sets of objects, subject to various rules or identities. An algebra, therefore, is a set of objects, with some collection of operations on the objects; and an identity of the algebra is a rule or equation satisfied by all the objects in the set. I study the structure of such algebras and identities. I also study new structures called co-algebras, which can be used to model finite-state machines in theoretical computer science.
