1208 Submissions

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

A Mild Generalization of Zariski's Lemma

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

Smarandache Weak BE-Algebras

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