One of the most important computations in algebraic geometry or commutative algebra that a computer algebra system should provide is the computation of finite free resolutions of ideals and modules.… (More)

INTRODUCTION
Maternal cardiovascular system adapts to pregnancy, thanks to complex physiological mechanisms that involve cardiac output, total vascular resistance and water body distribution.… (More)

In the given paper, we confront three finite difference approximations to the Navier–Stokes equations for the two-dimensional viscous incomressible fluid flows. Two of these approximations were… (More)

We construct the analogue of the plactic monoid for the super semistandard Young tableaux over a signed alphabet. This is done by developing a generalization of the Knuth's relations. Moreover we get… (More)

We introduce the notion of Gröbner S-basis of an ideal of the free associative algebra K〈X〉 over a field K invariant under the action of a semigroup S of endomorphisms of the algebra. We calculate… (More)

The notion of “letterplace correspondence” introduced in [18, 19] is generalized in this paper to the case of nongraded (two-sided) ideals of the free associative algebra K〈xi〉 generated by a finite… (More)

In this article we consider a generalization of Donkon-Koppinen filtrations for coordinate superalgebras of general linear supergroups. More precisely, if G = GL(m|n) is a general linear supergroup… (More)