Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

Mathematical Citation Quotient (MCQ) 2018: 0.71

See all formats and pricing
More options …
Volume 26, Issue 2


On some multiplicity and mixed multiplicity formulas

Duong Quoc Viet / Truong Thi Hong Thanh
Published Online: 2011-11-29 | DOI: https://doi.org/10.1515/form.2011.168


This paper gives the additivity and reduction formulas for mixed multiplicities of multi-graded modules M and mixed multiplicities of arbitrary ideals, and establishes the recursion formulas for the sum of all the mixed multiplicities of M. As an application of these formulas we get the recursion formulas for the multiplicity of multi-graded Rees modules.

Keywords: Noetherian ring; mixed multiplicity; multi-graded module; filter-regular sequence

MSC: 13H15; 13A02; 13A15; 13A30; 14C17

About the article

Received: 2011-08-03

Revised: 2011-11-14

Published Online: 2011-11-29

Published in Print: 2014-03-01

Funding Source: NAFOSTED

Citation Information: Forum Mathematicum, Volume 26, Issue 2, Pages 413–442, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/form.2011.168.

Export Citation

© 2015 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Duong Quoc VIET and Truong Thi Hong THANH
Kyushu Journal of Mathematics, 2015, Volume 69, Number 2, Page 393

Comments (0)

Please log in or register to comment.
Log in