Abstract:
This paper is a continuation of the paper by V. J. Bliznikas and the author [1]. In § 1 of this paper the definition of a nonlrolonomic hppecomplex $\mathrm{NGr}(1,4,5)$ is given and the structure of the first fundamental object $H^1(\mathrm{NGr}(1,4,5))$ is considered. In § 2 an another non-holonomic hypercomplex, a semi-non-holonomic pseudocongruence and a semi-non-holonomic congruence asstciated to the given non-holonomic hypercomplex are obtained. In § 3 it is proved that $H^1(\mathrm{NGr}(1,4,5))$ is the principal object (see G. F. Laptev [11]) of $\mathrm{NGr}(1,4,5)$.