the Kaplansky density theorem, Kaplansky's game and Kaplansky conjecture. He published more than 150 articles and 11 mathematical books. Kaplansky was...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

number Erdős conjecture — a list of numerous conjectures named after Erdős; See also List of conjectures by Paul Erdős. Erdős–Turán conjecture on additive...

radical of a left-and-right Noetherian ring is precisely 0. Kaplansky's conjectures Köthe conjecture: if a ring has no nil ideal other than { 0 } {\displaystyle...

kernel of this mapping, the elements a such that (a,b)=1 for all b, is the Kaplansky radical of F. The radical is a subgroup of F*/F*2, identified with a subgroup...

one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. Erdős pursued and proposed problems in discrete...

mathematician Prof. Erhard Tornier [de] pointed out that Helmut Hasse had a Jewish great grandmother. Kaplansky, Irving (1981). "Review: Number theory...

include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of derivatives and integrals in alternative...

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

Noetherian Rings (2001). Amer. Math. Soc., Providence. Corollary 6.4.8. Irving Kaplansky, Commutative rings (revised ed.), University of Chicago Press, 1974, ISBN 0-226-42454-5...

number derived from it, the Graham–Pollak theorem and Graham's pebbling conjecture in graph theory, the Coffman–Graham algorithm for approximate scheduling...

maximal Cohen–Macaulay modules over hypersurface rings, the Eisenbud–Goto conjecture on degrees of generators of syzygy modules, and the Buchsbaum–Eisenbud...

conjecture formulated by Jean-Pierre Serre was true, and thereby proved that Fermat's Last Theorem would follow from the Taniyama–Shimura conjecture....

American Journal ofMathematics, volume 80 (1958), pp. 16–36. 1989 Irving Kaplansky for his lasting impact on mathematics, particularly mathematics in America...

Peter Swinnerton-Dyer, he provided a resolution of the Shafarevich-Tate conjecture for elliptic K3 surfaces and the pencil of elliptic curves over finite...

Lasker–Noether theorem in its full generality. Noted algebraist Irving Kaplansky called this work "revolutionary". The publication gave rise to the term...

MR 0022841, Zbl 0031.10802 Scorza 1935, see review of Ballieu by Irving Kaplansky in Mathematical Reviews Antipkin, V. G.; Elizarov, V. P. (1982), "Rings...

1962 Aarhus Conference, published in Proc. 1993 Oberwolfach Novikov Conjecture Conference proceedings, London Mathematical Society Lecture Notes 226...

an hourlong lecture on convex sets, fixed-point theory, and duality, conjecturing the equivalence between matrix games and linear programming. Later, von...

say that it was one of the sources for the eventual proof of the Weil conjectures, through SGA 7 also for the study of Picard groups of Zariski surface)...

quantum field theories can have phase transitions. While physicists had conjectured for many years that this phenomenon took place, Jaffe-Glimm-Spencer's...

existence of a real analytic structure on the group action. The Hilbert–Smith conjecture, still unsolved, encapsulates the remaining difficulties of this case...