[2] **viXra:1208.0200 [pdf]**
*submitted on 2012-08-20 03:38:01*

**Authors:** Pierre-Yves Gaillard

**Comments:** 2 Pages.

We give a mild generalization of Zariski's Lemma.

**Category:** Algebra

[1] **viXra:1208.0020 [pdf]**
*submitted on 2012-08-07 13:16:43*

**Authors:** Arsham Borumand Saeid

**Comments:** Pages.

In this paper, we introduce the notions of Smarandache weak
BE-algebra, Q-Smarandache filters and Q-Smarandache ideals. We show
that a nonempty subset F of a BE-algebra X is a Q-Smarandache filter
if and only if A(x, y) is included in or equal to F, which A(x, y) is a Q-Smarandache upper set.
The relationship between these notions are stated and proved.

**Category:** Algebra