THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS

A polymatroid is a generalization of the classical notion of matroid. The main results of this paper are formulas for computing the type of base ring associated to a product of transversal polymatroids. We also present some extensive computational experiments which were needed in order to deduce the...

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Main Author:	ALIN STEFAN
Format:	Article
Language:	English
Published:	Conspress 2013-12-01
Series:	Romanian Journal of Mathematics and Computer Science
Subjects:	Base ring transversal polymatroid equations of a cone canonical module
Online Access:	http://www.rjm-cs.ro/Stefan2013.pdf

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spelling	doaj-bc6595f66d764c54962d511673b78a2d2020-11-24T23:03:39ZengConspressRomanian Journal of Mathematics and Computer Science2247-689X2013-12-0132205220THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDSALIN STEFAN0Petroleum and Gas University of Ploiesti, Ploiesti, Romania, E-mail address: nastefan@upg-ploiesti.roA polymatroid is a generalization of the classical notion of matroid. The main results of this paper are formulas for computing the type of base ring associated to a product of transversal polymatroids. We also present some extensive computational experiments which were needed in order to deduce the formulas. The base ring associated to a product of transversal polymatroids has multiplicity very large in general. At this moment we have examples of base rings with multiplicity of order 10^15.http://www.rjm-cs.ro/Stefan2013.pdfBase ringtransversal polymatroidequations of a conecanonical module
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	ALIN STEFAN
spellingShingle	ALIN STEFAN THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS Romanian Journal of Mathematics and Computer Science Base ring transversal polymatroid equations of a cone canonical module
author_facet	ALIN STEFAN
author_sort	ALIN STEFAN
title	THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS
title_short	THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS
title_full	THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS
title_fullStr	THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS
title_full_unstemmed	THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS
title_sort	type of the base ring associated to a product of transversal polymatroids
publisher	Conspress
series	Romanian Journal of Mathematics and Computer Science
issn	2247-689X
publishDate	2013-12-01
description	A polymatroid is a generalization of the classical notion of matroid. The main results of this paper are formulas for computing the type of base ring associated to a product of transversal polymatroids. We also present some extensive computational experiments which were needed in order to deduce the formulas. The base ring associated to a product of transversal polymatroids has multiplicity very large in general. At this moment we have examples of base rings with multiplicity of order 10^15.
topic	Base ring transversal polymatroid equations of a cone canonical module
url	http://www.rjm-cs.ro/Stefan2013.pdf
work_keys_str_mv	AT alinstefan thetypeofthebaseringassociatedtoaproductoftransversalpolymatroids AT alinstefan typeofthebaseringassociatedtoaproductoftransversalpolymatroids
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THE TYPE OF THE BASE RING ASSOCIATED TO A PRODUCT OF TRANSVERSAL POLYMATROIDS

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