graded

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graded

[′grād·əd]
(geology)
Brought to or established at grade.
References in periodicals archive ?
By an abuse of language, we call the free algebra the graded algebra infinite but finite degree sum of words.
A polynomial realization r of A is a map which associates to each alphabet U an injective graded algebra morphism [r.
A] = L(F) [right arrow] L(F) on the graded algebra of linear operators L(F) by means of the graded q-commutator as follows:
In this note we modify the definition of a Rota-Baxter system by including a curvature term and then derive the conditions that the curvature has to satisfy in order to yield a pre-Lie, associative or curved differential graded algebra structures.
2) If S = R and [omega] is an A-bimodule map, then ([OMEGA](A), d, [omega]) is a curved differential graded algebra.
j]; 1 [less than or equal to] j [less than or equal to] n, i [member of] N \{0}] is homogeneous with respect to the weight wt; hence the focussed arc algebra JOO (X) is a graded algebra.
to compute the HP-series of the corresponding graded algebra.
We answer this question in Section 4 by introducing the notion of an integrable Z-divergence which is a curved differential graded algebra version of the notion of a hom-connection from [6], which, in turn, is a noncommutative counterpart of that of a right connection introduced by Manin in context of supermanifolds [15, Chapter 4[section]5].
We write A for the zero- degree component of a graded algebra [A.
By a dg algebra we mean a cochain dg algebra, that is, a graded algebra A = [[cross product].
In this section we recall a family of graded algebras which were introduced by Shan, Varagnolo and Vasserot [SVV11].