Monomial Ideals of Forest Type
โ Scribed by Jahan, Ali Soleyman; Zheng, Xinxian
- Book ID
- 126931847
- Publisher
- Taylor and Francis Group
- Year
- 2012
- Tongue
- English
- Weight
- 199 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0092-7872
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In analogy to the skeletons of a simplicial complex and their StanleyโReisner ideals we introduce the skeletons of an arbitrary monomial ideal __I__ โ __S__ = __K__ [__x__~1~, โฆ, __x~n~__ ]. This allows us to compute the depth of __S__ /__I__ in terms of its skeleton ideals. We apply th
monomial idea so I is generated by elements of the form x ะธะธะธ x , where each 1 d . ลฝ . e is a nonnegative integer . The main results of this paper: a establish a practical i ลฝ . formula which computes the monomial length of I when Rad I s ลฝลฝ . . ลฝ . Rad x , . . . , x R ; b determine necessary and su