In this article I present a series of arguments that syntactic structures are built incrementally, in a strict left-to-right order. By assuming incremental structure building it becomes possible to explain the differences between the range of constituents available to different diagnostics of constituency, including movement, ellipsis, coordination, scope and binding. In an incremental derivati...

This chapter is the first in a two-chapter discussion on the nature of the derivation of Verb-Subject-Object (VSO) order. In this chapter, I will present a short history of the various analyses of the derivation of VSO in the literature,2 for both Irish and for VSO languages in general. In chapter 3, I focus narrowly on the syntax of Irish, where I present some previous analyses of Irish within...

In 1987, Craig Squier proved that, if a monoid can be presented by a finite convergent string rewriting system, then it satisfies the homological finiteness condition left-FP3. Using this result, he has constructed finitely presented decidable monoids that cannot be presented by finite convergent rewriting systems. In 1994, Squier introduced the condition of finite derivation type, which is a h...

LetN be a zero-symmetric left near-ring, not necessarily with amultiplicative identity element; and letZ be its multiplicative center. DefineN to be 3-prime if for all a, b ∈ N\{0}, aNb / {0}; and callN 2-torsion-free if N, has no elements of order 2. A derivation onN is an additive endomorphism D of N such that D xy xD y D x y for all x, y ∈ N. A generalized derivation f with associated deriva...

"How to find any $n^{th}$ order B\'{e}zier curve if we know its first, second, and third derivatives?" Hence have examined the way based on control points with matrix form, while derivatives are given in $\mathbf{E}^{3}$. Further, of a cubic as an example. In this study first how Bezier known second derivatives, which inherently, $\left( n-1\right) ^{th}$ order, $\left(n-2\right) n-3\right) cur...

Suppose that A is a C∗-algebra acting on a Hilbert space H, and φ, ψ are mappings from A into B(H) which are not assumed to be necessarily linear or continuous. By a (φ, ψ)derivation we mean a linear mapping d : A → B(H) such that d(ab) = φ(a)d(b) + d(a)ψ(b) (a, b ∈ A). In this paper, we prove that if φ is a multiplicative(not necessary linear) ∗-mapping, then every ∗-(φ,φ)-derivation is automa...

ing away from the effect of the phonological rules mentioned, the template of Nicobarese reduplication is a syllable PuC. A standard copyand-association analysis involving a prespecified CVC template will have to somehow insure that the coda segment in a form like cim ends up in coda position. Since prelinked segments, if used at all, must be interpreted conditionally, we are faced with the cho...

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.

let  be a banach algebra and  a derivation. in this paper, it is proved, under certain conditions, that , where  is the jacobson radical of . moreover, we prove that if  is unital and  is a continuous derivation, then , where  denotes the set of all primitive ideals such that  is commutative,  denotes the set of all maximal (modular) ideals such that  is commutative, and  is the set of all non-...