# Leonard Eugene Dickson (1874-1954): An American legacy in mathematics

## Related Articles

- Leonard Eugene Dickson and his work in the Arithmetics of Algebras. Fenster, Della Dumbaugh // Archive for History of Exact Sciences;Feb1998, Vol. 52 Issue 2, p119
Looks at the publications of Leonard Eugene Dickson in the arithmetics of algebra. Role of Dickson in the evolution of the arithmetics of algebra; Analysis of the historical development of the concept of a set of integral elements; Use of rhetoric in mathematics.

- Leonard Eugene Dickson and his work in the Arithmetics of Algebras. Fenster, Della Dumbaugh // Archive for History of Exact Sciences;Feb1998, Vol. 52 Issue 2, p119
Looks at the publications of Leonard Eugene Dickson in the arithmetics of algebra. Role of Dickson in the evolution of the arithmetics of algebra; Analysis of the historical development of the concept of a set of integral elements; Use of rhetoric in mathematics.

- ...2 + ...3: Four Different Views. Landau, Susan // Mathematical Intelligencer;Fall98, Vol. 20 Issue 4, p55
Gives information on the development of different theorems in an effort to locate faster methods for algebraic simplification. Information on the close relationship between a conjecture and examples in a computational area; Presentation of four results from computational algebra; How the power...

- Simplifying algebraic expressions: Teacher awareness and teaching and teaching approaches. Tirosh, Dina; Even, Ruhama; Robinson, Naomi // Educational Studies in Mathematics;Jan1998, Vol. 35 Issue 1, p51
Investigates four seventh-grade teachers' awareness of students' tendency to conjoin or `finish' open expressions, and teachers' ways of coping with the tendency. Types of data collected for study; What analysis has shown; Observation made with teaching approaches; Analysis of teaching methods;...

- On completeness of the quotient algebras ... Kanai, Yasuo // Archive for Mathematical Logic;2000, Vol. 39 Issue 2, p75
Abstract. In this paper, the following are proved: Theorem A. The quotient algebra P(kappa)/I is complete if and only if the only non-trivial I-closed ideals extending I are of the form I|A for some A is an element of I[sup +]. Theorem B. If kappa is a stationary cardinal, then the quotient...

- On Solvable Complete Lie Superalgebras. Wang, Liyun; Meng, Daoji // Chinese Annals of Mathematics;Jan2003, Vol. 24 Issue 1, p111
The authors discuss the properties of solvable complete Lie superalgebra, proving that solvable Lie superalgebras of maximal rank are complete.

- Algebraic independence properties of the Hecke-Mahler series. Masser, DW // Quarterly Journal of Mathematics;Jun99, Vol. 50 Issue 198, p207
Discusses the theorems of the algebraic independence properties of the Hecke-Mahler series. Effect of the Vanishing Theorem on the series; Significance of the values of series satisfying functional equations; Establishment of the functional equation for the series.

- Almost commutative algebra and differential calculus on the quantum hyperplane. Bongaarts, P. J. M.; Pijls, H. G. J. // Journal of Mathematical Physics;Feb94, Vol. 35 Issue 2, p959
A notion of almost commutative algebra is given that makes it possible to extend differential geometric ideas associated with commutative algebras in a simple manner to certain classes of noncommutative algebras. As an example differential calculus on the N-dimensional quantum hyperplane is...

- A natural basis of states for the noncommutative sphere and its Moyal bracket. Gratus, J. // Journal of Mathematical Physics;Aug97, Vol. 38 Issue 8, p4283
Presents an infinite-dimensional algebra which is a nondecomposable reducible representation of su(2). Definition of the algebra with respect to two real parameters; Extension of the algebra normally referred to as the (Berezin) quantum sphere or fuzzy sphere; Construction of a Moyal bracket.