… A distinguished subset of such bases consists of the exterior algebra version of Gröbner
bases. We characterise such bases and demonstrate how to construct them algorithmically from …

… All major computer algebra systems are now able to calculate Gröbner bases, and … algebra
through Gröbner bases. The only prior knowledge we assume is a first course in algebra …

… regarding Gröbner bases and initial ideals of those ideals J in the free associative algebra K
… -commutator ideal (the defining ideal of the exterior algebra). We define one weak notion of …

… Gröbner bases and algebraic geometry 119 We define the notion of standard basis
respectively Gröbner basis and give an algorithm to compute such a basis. In the case of a well-…

… in algebra, some of the issues which might be of interest to computer scientists are outside the
scope … In Chapter 2 we present the basic applications to algebra and elementary algebraic …

… In Chapter 2, we adopt the notion of Gröbner basis to G–algebras and note similarities and
… Gröbner bases; continuing a tradition, we call the set of most ubiquitous applications Gröbner …

… of a A-ideal is the natural extension of the notion of Gröbner basis of an ideal of … Gröbner
bases and then we cannot solve the membership problem for A-ideals by using such bases…

… (for a standard reference and textbook on Gröbner bases (see … In this paper we describe the
required Gröbner basis theory, … For example, consider the exterior algebra generated by a, b…

… Gröbner basis and a counting argument also provide a … Gröbner basis argument. Without
the explicitly introducing the concept of flattness, what we basically do is, to use Gröbner basis …

… universal enveloping algebra of the free nilpotent of class 2 Lie algebra and of … Gröbner
basis is infinite and our Gröbner S-basis is finite. We obtain also explicit minimal Gröbner bases …