Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.

In this paper, we propose the peak of the polynomial Wigner-Ville distribution as an instantaneous frequency estimator for polynomial frequency modulated signals in the presence of multiplicative and additive complex Gaussian processes. We show that this estimator is unbiased and we derive an analytic expression of its asymptotic variance. Simulation results, based on Monte-Carlo realisations, ...

let $mathcal{a}$ be a $c^*$-algebra and $z(mathcal{a})$ the‎ ‎center of $mathcal{a}$‎. ‎a sequence ${l_{n}}_{n=0}^{infty}$ of‎ ‎linear mappings on $mathcal{a}$ with $l_{0}=i$‎, ‎where $i$ is the‎ ‎identity mapping‎ ‎on $mathcal{a}$‎, ‎is called a lie higher derivation if‎ ‎$l_{n}[x,y]=sum_{i+j=n} [l_{i}x,l_{j}y]$ for all $x,y in  ‎mathcal{a}$ and all $ngeqslant0$‎. ‎we show that‎ ‎${l_{n}}_{n...

Log-multiplicative association models (LMA), which are special cases of log-linear models, have been derived as models for manifest probabilities based on multidimensional latent variables models for multi-category response data. Since discussion of between multiple derivations is lacking, we draw connections between multiple derivations with an emphasis on those pertaining to item response mod...

Spurious ambiguity is the phenomenon whereby distinct derivations in grammar may assign the same structural reading, resulting in redundancy in the parse search space and inefficiency in parsing. Understanding the problem depends on identifying the essential mathematical structure of derivations. This is trivial in the case of context free grammar, where the parse structures are ordered trees; ...

In this paper, properties of ideal I semiprime ring R with multiplicative generalized (α,β)- reverse derivation determined not necessarily additive map d is studied. We previous studies for different derivations to F. show that [β(p),d(p)]I=0 all p∈I or [d(p)],α(p)]I=0 under the given conditions. Also, we give relationship between and anti-automorphism α automorphism β R. Under conditions, exam...

We examine ‘weak-distributivity’ as a rewriting rule ; WD defined on multiplicative proof-structures (so, in particular, on multiplicative proof-nets: MLL). This rewriting does not preserve the type of proofsnets, but does nevertheless preserve their correctness. The specific contribution of this paper, is to give a direct proof of completeness for ; WD : starting from a set of simple generator...

In this article, the notion of $n-$derivation is introduced for all integers $ngeq 2$. Although all derivations are $n-$derivations,  in general these notions are not equivalent. Some properties of ordinary derivations are  investigated for $n-$derivations. Also, we show that under certain mild condition  $n-$derivations are derivations.

We considers how a particular kind of graph corresponds to multiplicative intuitionistic linear logic formula. The main feature of the graphical notation is that it absorbs certain symmetries between conjunction and implication. We look at the basic definitions and present details of an implementation in the functional programming language Standard ML. This provides a functional approach to gra...