2024 : 5 : 5

Ali Soleyman Jahan

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 56258762200
Faculty: Faculty of Science
Address:
Phone:

Research

Title
MONOMIAL IDEALS OF FOREST TYPE
Type
JournalPaper
Keywords
Pretty clean modules; Shellability; Stanley decomposition
Year
2012
Journal COMMUNICATIONS IN ALGEBRA
DOI
Researchers Ali Soleyman Jahan ، Xin Zhang

Abstract

As a generalization of the facet ideal of a forest, we define monomial ideal of forest type, and show that monomial ideals of forest type are pretty clean. As a consequence we show that if $I$ is a monomial ideal of forest type in the polynomial ring $S$, then Stanley's conjecture holds for $S/I$. The other main result of this article shows that a clutter is totally balanced if and only if it has the free vertex property and which is also equivalent to say that its edge ideal is a monomial ideal of forest .type or is generated by an M sequence