Alfred Goldie
Encyclopedia
Alfred William Goldie was an English
mathematician
.
Goldie was Assistant Lecturer, Nottingham University 1946-48; Lecturer, then Senior Lecturer, Newcastle University 1948-63; and Professor of Pure Mathematics, Leeds University 1963-86;
He won the 1970 Senior Berwick Prize from the London Mathematical Society
, where he also became Vice-President from 1978-80.
He worked in ring theory
where he introduced the notion of the uniform dimension of a module, and the reduced rank
of a module. He is well known for Goldie's theorem
, which characterizes right Goldie ring
s.
English people
The English are a nation and ethnic group native to England, who speak English. The English identity is of early mediaeval origin, when they were known in Old English as the Anglecynn. England is now a country of the United Kingdom, and the majority of English people in England are British Citizens...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
Goldie was Assistant Lecturer, Nottingham University 1946-48; Lecturer, then Senior Lecturer, Newcastle University 1948-63; and Professor of Pure Mathematics, Leeds University 1963-86;
He won the 1970 Senior Berwick Prize from the London Mathematical Society
London Mathematical Society
-See also:* American Mathematical Society* Edinburgh Mathematical Society* European Mathematical Society* List of Mathematical Societies* Council for the Mathematical Sciences* BCS-FACS Specialist Group-External links:* * *...
, where he also became Vice-President from 1978-80.
He worked in ring theory
Ring theory
In abstract algebra, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers...
where he introduced the notion of the uniform dimension of a module, and the reduced rank
Uniform module
In abstract algebra, a module is called a uniform module if the intersection of any two nonzero submodules is nonzero. This is equivalent to saying that every nonzero submodule of M is an essential submodule...
of a module. He is well known for Goldie's theorem
Goldie's theorem
In mathematics, Goldie's theorem is a basic structural result in ring theory, proved by Alfred Goldie during the 1950s. What is now termed a right Goldie ring is a ring R that has finite uniform dimension as a right module over itself, and satisfies the ascending chain condition on right...
, which characterizes right Goldie ring
Goldie's theorem
In mathematics, Goldie's theorem is a basic structural result in ring theory, proved by Alfred Goldie during the 1950s. What is now termed a right Goldie ring is a ring R that has finite uniform dimension as a right module over itself, and satisfies the ascending chain condition on right...
s.