Theory of linear associative algebra

Discriminant Matrices of a Linear Associative Algebra

where ti(eres) and fa{erea) are the first and second traces, respectively, of eres. The first forms in terms of the constants of multiplication arise from the isomorphism between the first and second matrices of the elements of A and the elements themselves. The second forms result from direct calculation of the traces of R(er)R(es) and S(er)S(es), R{ei) and S(ei) denoting, respectively, the fi...

Linear Algebra, Theory And Applications

Set Theory in Linear Algebra

Set theory language is an essential prerequisite for the cognition of linear algebra concepts. Many difficulties of cognition in linear algebra may be explained by the lack of mastery of set theory concepts. In the paper, an in depth discussion of documented categories of difficulties originated from set theory is provided.

Linear Algebra and Matrix Theory

Making Non - Associative Algebra Associative Pei

Based on results about open string correlation functions, a nonassociative algebra was proposed in a recent paper for D-branes in a background with nonvanishing H. We show that our associative algebra obtained by quantizing the endpoints of an open string in an earlier work can also be used to reproduce the same correlation functions. The novelty of this algebra is that functions on the D-brane...