On the degrees of minimal generators of homogeneous ideals in the exterior algebra
2001 (English)In: Communications in Algebra, ISSN 0092-7872, Vol. 29, no 11, 5155-5170 p.Article in journal (Refereed) Published
We study how homogeneous ideals in the exterior algebra ? V over a finite-dimensional vector space V are minimally generated. In particular, we solve the following problems: Starting with an element pv of degree v, what is the maximum length l of a sequence pv, . . . , pv+l-l, with degpi = i, and such that pi is not in the ideal generated by pl, . . . , pi-l? What is the maximal possible number of minimal generators of degree d of a homogeneous ideal which does not contain all elements of degree d + 1? Our main tool is the Kruskal-Katona theorem.
Place, publisher, year, edition, pages
2001. Vol. 29, no 11, 5155-5170 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47218DOI: 10.1081/AGB-100106808OAI: oai:DiVA.org:liu-47218DiVA: diva2:268114