Algebraic analysis of the moisil—theodorescu system

Abstract

We study the Moisil-Theodorescu system in several variables. We prove that ifb M_n is the module associated to it, then pd(M_n )=2n − 1 and dim Ch(M_n )=n + 1. We apply these results to study the sheaf of MT-regular functions in n ≥ variables.

Keywords:

• Several quaternionic variables
• Moisil-Theodorescu system
• algebraic methods
• Hartog's type theorems
• duality theorems

AMS No:

• 30G35
• 35A27

^*Corresponding author.

^*Corresponding author.

Notes

^*Corresponding author.