Some Notes about Basic Elementary Complex Function

Some basic results in elementary number theory in function fields

Article history: Received 6 March 2015 Received in revised form 18 July 2015 Accepted 19 July 2015 Available online 10 September 2015 Communicated by David Goss

Some notes about matrices

1 Linear algebra and geometry on R, C If m, n are positive integers, we shall denote by L(R,R) the space of reallinear mappings from R to R, and by L(C,C) the space of complexlinear mappings from C to C. In the special case where m = n, we may simply write L(R), L(C), respectively. Also when m = n, we write I for the identity mapping on R or C, as appropriate. Using the standard basis for real ...

Some Notes on Basic Syntactic Mutation

Unification modulo convergent term rewrite systems is an important research area with many applications. In their seminal paper Lynch and Morawska gave three conditions on rewrite systems that guarantee that unifiability can be checked in polynomial time (P). We show that these conditions are tight, in the sense that relaxing any one of them will “upset the applecart,” giving rise to unificatio...

Some Remarks About Elementary Divisor Rings

SOME NOTES ABOUT p-LIE ALGEBRAS

The aim of this paper is to present some results about the finite dimensional p-Lie algebras and some properties of p-c-supplemented subalgebras of p-Lie algebras. In addition some relations between p-csupplemented Lie algebras and E-p-algebras are pointed out.