Explicit Pre A*-algebra

Ideals of Pre A ∗ - Algebra

In this paper we formulate the definition of an ideal of Pre A∗-algebra A and discuss certain examples. Also certain binary operations are introduced on the set of ideals and various properties of these are investigated. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.

Process Algebra with Explicit Termination

In ACP-style process algebra, the interpretation of a constant atomic action combines action execution with termination. In a setting with timing, different forms of termination can be distinguished: some time termination, current time slice termination, urgent termination, termination in a virtual state. In a setting with the silent action τ , we also have silent termination. This leads to pro...

Pre-Algebra - Distribute then combine like terms

EXPLICIT n-DESCENT ON ELLIPTIC CURVES I. ALGEBRA

This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n. The methods we describe are practical in the case n = 3 for elliptic curves over the rationals, and have been implemented in MAGMA .

On dimensions of derived algebra and central factor of a Lie algebra

Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.