Change search
ReferencesLink to record
Permanent link

Direct link
Segre and Rees products of posets, with ring-theoretic applications
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7497-2764
2005 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 198, no 3-Jan, 43-55 p.Article in journal (Refereed) Published
Abstract [en]

We introduce (weighted) Segre and Rees products for posets and show that these constructions preserve the Cohen-Macaulay property over a field k and homotopically. As an application we show that the weighted Segre product of two affine semigroup rings that are Koszul is again Koszul. This result generalizes previous results by Crona on weighted Segre products of polynomial rings. We also give a new proof of the fact that the Rees ring of a Koszul affine semigroup ring is again Koszul. The paper ends with a list of some open problems in the area.

Place, publisher, year, edition, pages
2005. Vol. 198, no 3-Jan, 43-55 p.
Keyword [en]
koszul algebras, subalgebras, enumeration, embeddings
URN: urn:nbn:se:kth:diva-14704DOI: 10.1016/j.jpaa.2004.11.013ISI: 000228717100004ScopusID: 2-s2.0-16844380765OAI: diva2:332745
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Björner, Anders.
By organisation
Mathematics (Div.)
In the same journal
Journal of Pure and Applied Algebra

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 26 hits
ReferencesLink to record
Permanent link

Direct link