Results 231 to 240 of about 248,977 (280)

Lattice Ordered Polynomial Algebras

Order, 1998
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Padmanabhan, R., Penner, P.
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Polynomial process algebra

Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012
In this paper we present a polynomial process algebra (PPA) like basic process algebra which can be used to model both polynomial behavior of parallel systems. It provides a nature framework for the concurrent composition systems, and can deal with the nondeterministic behavior.
Bai Liu, Jinzhao Wu
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On Polynomial Algebras and Free Algebras

Canadian Journal of Mathematics, 1968
It is well known that given the polynomial algebra (for definitions, see §2), an algebra of type τ, and a sequence a of elements of , one can define a congruence relation θa of such that the factor algebra is isomorphic to the subalgebra of generated by a, and the isomorphism is given in a very simple way.
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Polynomial Heisenberg algebras

Journal of Physics A: Mathematical and General, 2004
Summary: Polynomial deformations of the Heisenberg algebra are studied in detail. Some of their natural realizations are given by the higher order susy partners (and not only by those of first order, as is already known) of the harmonic oscillator for even-order polynomials.
Carballo, Juan M., Fernández, David J., Negro, Javier, Nieto, Luis M.   +3 more
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Quantum polynomial algebras

Journal of Mathematical Sciences, 1997
In this survey of quantum polynomial algebras, the author describes (after giving the basic definitions) the relation with crossed products and their endomorphisms and derivations. Relations with quantum field theory are briefly dealt with, and skew fields of fractions and the Krull dimension are studied.
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Realizable polynomial algebras

Acta Mathematica Sinica, 1994
Summary: We investigate whether a polynomial algebra over the prime field of order \(p\) can be realized as a cohomology ring of a topological space. Our main results are that we can split the realizable polynomial algebra into a tensor product of certain simple factors and that these factors are given explicitly when \(p>7\).
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Polynomial Identity Algebras

2002
Definitions. A ring R is a polynomial identity ring (or PI ring for short) if R satisfies a monic polynomial f ∈ ℤ 〈X〉. Here, ℤ〈X〉 is the free ℤ-algebra on a finite set, X={x 1,...,x m } and to say that R satisfies f=f(x 1,...,x m ) means f(r 1,...,r m )=0 for all r 1,...,r m ∈ R.
Ken A. Brown, Ken R. Goodearl
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HOCHSCHILD COHOMOLOGY OF POLYNOMIAL ALGEBRAS

Communications in Contemporary Mathematics, 2001
In this paper we investigate the Hochschild cohomology groups H2(A) and H3(A) for an arbitrary polynomial algebra A. We also show that the corresponding cohomology groups which are built from differential operators inject in H2(A) and H3(A) and we give an application to deformation theory.
Penkava, Michael, Vanhaecke, Pol
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Algebraic Polynomial Approximation

1987
In this chapter we relate the rate of convergence of best polynomial approximation to our new modulus of smoothness. Asymptotic behavior of the derivatives of the optimal algebraic polynomials will also be related to that modulus of smoothness. The results are of both direct and converse type and yield necessary and sufficient conditions whenever the ...
Z. Ditzian, V. Totik
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Polynomial Graded Subalgebras of Polynomial Algebras

Communications in Algebra, 2012
Let k[x 1,…, x n ] be the polynomial algebra over a field k. We describe polynomial graded subalgebras of k[x 1,…, x n ], containing , where p 1, ⋅, p n are prime numbers.
Piotr Je¸drzejewicz, Andrzej Nowicki
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