شماره ركورد كنفرانس :
5440
عنوان مقاله :
When a quotient of a distributive lattice is a Boolean algebra
پديدآورندگان :
BARZEGAR H. barzegar@tafreshu.ac.ir Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran.
كليدواژه :
Distributive lattice , Boolean algebra , Congruence , Ideal , Filter
عنوان كنفرانس :
بيست و هفتمين سمينار جبر ايران
چكيده فارسي :
In this article, we introduce a lattice congruence with respect to a nonempty ideal $I$ of a distributive lattice $L$ and a derivation $d$ on $L$ denoted by $theta_I^d$. We investigate some necessary and sufficient conditions for the quotient algebra $L/theta_I^d$ to become a Boolean algebra.
