A near ring analogue of a ring embedding theorem

EMBEDDING OF THE LATTICE OF IDEALS OF A RING INTO ITS LATTICE OF FUZZY IDEALS

We show that the lattice of all ideals of a ring $R$ can be embedded in the lattice of all its fuzzyideals in uncountably many ways. For this purpose, we introduce the concept of the generalizedcharacteristic function $chi _{s}^{r} (A)$ of a subset $A$ of a ring $R$ forfixed $r , sin [0,1] $ and show that $A$ is an ideal of $R$ if, and only if, its generalizedcharacteristic function $chi _{s}^{...

Synthesis of a ring-expanded bryostatin analogue.

The bryostatins are a family of marine natural products that display a wide range of biological activities, most notably their anticancer activity in vivo.1 This effect is attributed to their ability to modulate the functions of protein kinase C isozymes within cells. One of the members of this family, bryostatin 1, is currently in several phase I and phase II clinical trials for the treatment ...

ON FUZZY IDEALS OF A RING

The concepts of L-fuzzy ideal generated by a L-fuzzy subset, L-fuzzy prime and completely prime ideal where L is a complete lattice are considered and some results are proved

A graph associated to spectrum of a commutative ring

Let $R$ be a commutative ring. In this paper, by using algebraic properties of $R$, we study the Hase digraph of prime ideals of $R$.

On the Embedding of a Commutative Ring in a Local Ring