Let L be a free Lie algebra over an arbitrary field K, and let $\ {x_1, \ldots, x_n, \ldots \}, n \geq 2$, be a free basis of L. We define the rank of an element u of L as the least number of free ...

Let A be an abelian variety denned over a finite field. In this paper, we discuss the relationship between the p-rank of A, r(A), and its endomorphism algebra, End⁰ (A). As is well known, End⁰ (A) ...

Over the last few issues, we've been talking about the math entity called a matrix. I've given examples of how matrices are useful and how matrix algebra can simplify complicated problems. A messy ...

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...