Journal of Siberian Federal University. Mathematics & Physics / Polynomials, α-ideals, and the Principal Lattice

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (3)
Authors
Molkhasi, Ali
Contact information
Molkhasi, Ali : Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan , F.Agaev, 9, Baku, 370141, Azerbaijan Republic , e-mail:
Keywords
Almost distributive lattice; principal lattice; α-ideals; multiplicative lattice; complete lattice; WB-height-unmixedness; Cohen-Macaulay rings; unmixedness
Abstract

Let R be a commutative ring with an identity, R be an almost distributive lattice and Iα(R) be the set of all α-ideals of R. If L(R) is the principal lattice of R, then R[Iα(R)] is Cohen-Macaulay. In particular, R[Iα(R)][X1,X2, · · · ] is WB-height-unmixed.

Pages
292-297
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2422