Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1398
1
1
gregorian
2019
4
1
14
1
online
1
fulltext
en
Linear Resolutions of Powers of Generalized Mixed Product Ideals
تخصصي
Special
پژوهشي
Research paper
<p></p>
<p>Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper we compute powers of the genearlized mixed product ideals and show that L<sup>k</sup> have a linear resolution if and only if I<sup>k</sup> have a linear resolution for all k. We also introduce the generalized mixed polymatroidal ideals and prove that powers and monomial localizations of a generalized mixed polymatroidal ideal is again generalized mixed polymatroidal ideal.</p>
Free resolutoins, Graded betti numbers, Monomial ideals.
127
134
http://ijmsi.ir/browse.php?a_code=A-10-2145-1&slc_lang=en&sid=1
A.
Tehranian
tehranian@srbiau.ac.ir
10031947532846007044
10031947532846007044
Yes
Department of mathematics, Science and Research branch, Islamic azad university, Tehran Iran
R.
Moghimipor
roya_moghimipour@yahoo.com
10031947532846007045
10031947532846007045
No
Department of mathematics, Science and Research branch, Islamic azad university, Tehran Iran