T-spaces in the relatively free Grassmann algebra

The monograph contains the results of studies on the T-spatial and multiplicative structure relative to the free algebra of Grassman F (3), corresponding to the identity [[x1, x2], x3] = 0, above the infinite field of the characteristic P> 0. The most attention is paid to unitary closed T-spaces. . One of the main results is the decomposition of factor-T-spaces associated with F (3), in direct sum of the simple component. In addition, the studied T-spaces turn out to be commutative subalgebras in F (3), which makes it possible to describe F (3) and some subalgebras, as modules over these commutative algebras. The application does not explore unitary closed T-spaces, as well as the case of the zero characteristic field.
Work is designed for specialists in the field of combinatorial algebra, theory of rings and modules, graduate students and students of senior courses of physico-mathematical faculties of universities