The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space. Frenet and Flc frame vectors, curvature torsion of the new constructed are expressed by means initial curve invariants. For sake comparison view, an example for both is also presented at end paper.

In this paper, we introduce the notion of bi-Smarandache BL-algebra, bi-weak Smarandache BL-algebra, bi-Q-Smarandache ideal and bi-Q-Smarandache implicative filter, we obtain some related results and construct quotient of bi-Smarandache BL-algebras via MV-algebras (or briefly bi-Smarandache quotient BL-algebra) and prove some theorems. Finally, the notion of bi-strong Smarandache BL-algebra is ...

This paper aims to study the Smarandache cosets and derive some interesting results about them. We prove the classical Lagranges theorem for Smarandache semigroup is not true and that there does not exist a one-to-one correspondence between any two right cosets. We also show that the classical theorems cannot be extended to all Smarandache semigroups. This leads to the definition of Smarandache...

The paper introduces a new kind of special ruled surface. base each surface is taken to be one the Smarandache curves given curve according Frenet frame, and generator (ruling) chosen corresponding unit Darboux vector. characteristics these newly defined surfaces are investigated by means first second fundamental forms their curvatures. An example provided considering both helix Viviani’s curve.