Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician. Kaplansky or "Kap" as his friends...

The mathematician Irving Kaplansky is notable for proposing numerous conjectures in several branches of mathematics, including a list of ten conjectures...

dimension of any function space. The theorem is named after Paul Erdős and Irving Kaplansky. Let E {\displaystyle E} be an infinite-dimensional vector space over...

guitar, mandolin, and piano. Kaplansky was originally from Chicago; her father was the noted mathematician Irving Kaplansky (1917–2006). Later, she would...

infinite-dimensional C*-algebras with this property exist was posed in 1958 by Irving Kaplansky, and the first example of one was published in 1981 by Bruce Blackadar...

In the theory of von Neumann algebras, the Kaplansky density theorem, due to Irving Kaplansky, is a fundamental approximation theorem. The importance and...

of complex numbers is probably the one best studied. In this case, Irving Kaplansky proved that if a and b are elements of C[G] with ab = 1, then ba =...

American radiation oncologist Irving Kaplansky (1917–2006), mathematician Irving Kaplan (chemist) (1913–1997), an MIT professor Irving Langmuir (1881–1957), chemist...

In abstract algebra, Kaplansky's theorem on projective modules, first proven by Irving Kaplansky, states that a projective module over a local ring is...

algebra and algebraic geometry", Birkhauser 1985, ISBN 0-8176-3065-1 Irving Kaplansky, "Infinite abelian groups", University of Michigan, 1954. Michiel Hazewinkel...

introduced in the work of Irving Kaplansky in 1953, which developed the theory for commutative, unital algebras (though Kaplansky observed that the assumption...

basis for further investigations of algebraic quantum mechanics started by Irving Segal. Von Neumann was the first to establish a rigorous mathematical framework...

Machine was established at Caltech. Speakers have included Paul Erdős, Irving Kaplansky, Paul Halmos and Hugh Woodin. Axiom of Choice – The Banach–Alaoglu...

going-up and going-down theorems. He also coauthored articles with Irving Kaplansky. One of his doctoral students was R. Duncan Luce. Cohen died unexpectedly...

Ph.D. from the University of Chicago in 1957 under the guidance of Irving Kaplansky. During his career at Stanford University he supervised the Ph. D....

considerably from source to source. For instance, Israel Nathan Herstein and Irving Kaplansky (1974) have Josephus and 39 comrades stand in a circle with every seventh...

Jacobson's conjecture ring theory Nathan Jacobson 127 Kaplansky conjectures ring theory Irving Kaplansky 466 Keating–Snaith conjecture number theory Jonathan...

(1979–1980) Andrew M. Gleason (1981–1982) Julia Robinson (1983–1984) Irving Kaplansky (1985–1986) George Mostow (1987–1988) William Browder (1989–1990) Michael...

in characteristic 2 is of interest related to the Arf invariant – Irving Kaplansky (1974), Linear Algebra and Geometry, p. 27. The bilinear form to which...

ring R/J is again local, with maximal ideal m/J. A deep theorem by Irving Kaplansky says that any projective module over a local ring is free, though the...

abelian groups has been one avenue of further progress. See the books by Irving Kaplansky, László Fuchs, Phillip Griffith, and David Arnold, as well as the proceedings...

mathematics, Kaplansky's theorem on quadratic forms is a result on simultaneous representation of primes by quadratic forms. It was proved in 2003 by Irving Kaplansky...

he published his first scientific paper, in physics and co-authored with Irving Langmuir. In 1929, at a party of Yale football supporters in Montclair,...

conditions with regard to (mathematical) ideals. Noted algebraist Irving Kaplansky called this work "revolutionary"; the publication gave rise to the...

printer Kalmen Kaplansky (1912–1997), Canadian labour and human rights activist Irving Kaplansky (1917–2006), Canadian mathematician Kaplansky density theorem...

prodigy and entered Harvard College, where one of his professors was Irving Kaplansky, at the age of 15 after graduating from Loomis School. As a mathematics...

(1979–1980) Andrew M. Gleason (1981–1982) Julia Robinson (1983–1984) Irving Kaplansky (1985–1986) George Mostow (1987–1988) William Browder (1989–1990) Michael...

(1933– ), computer scientist and mathematician; Turing Award (1989) Irving Kaplansky (1917–2006), mathematician Yael Karshon (1964– ), symplectic geometer[citation...

other mathematical objects being called Noetherian. Noted algebraist Irving Kaplansky called this work "revolutionary"; results which seemed inextricably...

titled Global dimensions of rings, was written under the supervision of Irving Kaplansky. He has held visiting appointments at the Institute for Advanced Study...