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People named Kaplansky (Polish: Kapłański (feminine Kapłańska), Russian: Капланский, also Kaplanski (feminine Kaplanska)) include: Abraham Kaplansky (1860–1939), Canadian printer; Kalmen Kaplansky (1912–1997), Canadian labour and human rights activist; Irving Kaplansky (1917–2006), Canadian mathematician Kaplansky density ...
Kaplansky's zero divisor conjecture states: The group ring K[G] does not contain nontrivial zero divisors, that is, it is a domain. Two related conjectures are known as, respectively, Kaplansky's idempotent conjecture: K[G] does not contain any non-trivial idempotents, i.e., if a 2 = a, then a = 1 or a = 0.
Erie Insurance Group, based in Erie, Pennsylvania, is a property and casualty insurance company offering auto, home, business and life insurance through a network of independent insurance agents. As of 2021 [update] , Erie Insurance Group is ranked 347th on the 2021 Fortune 500 list of largest American corporations, based on total revenue for ...
[15] From 1967 to 1969, Kaplansky wrote the mathematics section of Encyclopædia Britannica. [16] [17] [18] Kaplansky was the Director of the Mathematical Sciences Research Institute from 1984 to 1992, and the President of the American Mathematical Society from 1985 to 1986. [19] Kaplansky was also an accomplished amateur musician.
In abstract algebra, Kaplansky's theorem on projective modules, first proven by Irving Kaplansky, states that a projective module over a local ring is free; [1] where a not-necessarily-commutative ring is called local if for each element x, either x or 1 − x is a unit element. [2]
Kalmen Kaplansky, CM (January 5, 1912 – December 10, 1997) was a civil, human rights and trade union activist in Canada. [1] Alan Borovoy described Kaplansky as "the zaideh" (grandfather) of the Canadian human rights movement. [2] Kaplansky was born in Białystok in what is now Poland and emigrated to Montreal after graduating from high ...
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