Izvorni znanstveni članak
Rank bounded Hibi subrings for planar distributive lattices
Rida Irfan
orcid.org/0000-0001-5793-3598
; Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal, Pakistan
Nadia Shoukat
; Abdus Salam School of Mathematical Sciences, GC University, Lahore 68-B, New Muslim Town, Lahore, Pakistan
Sažetak
Let L be a distributive lattice and R[L] the associated Hibi ring. We show that if L is planar, then any bounded Hibi subring of R[L] has a quadratic Grobner basis. We characterize all planar distributive lattices L for which any proper rank bounded Hibi subring of R[L] has a linear resolution. Moreover, if R[L] is linearly related for a lattice L, we find all the rank bounded Hibi subrings of R[L] which are linearly related too.
Ključne riječi
Rank bounded Hibi Subrings; Linear resolution; Linear syzygies
Hrčak ID:
227066
URI
Datum izdavanja:
25.10.2019.
Posjeta: 861 *