Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$

The paper continues the previous author's paper in which the bimodule resolution was constructed for algebras of semidihedral type from the family $SD(2\mathcal B)_2$. In the present paper, using this resolution we describe a multiplicative structure of the Hochschild cohomology algebra for algebras in the mentioned family over a base field of characteristic 2 under an additional assumption that the parameter $c$ containing in the defining relations of the algebras is equal to zero.