Results 61 to 70 of about 1,178 (260)
On simple rings satisfying a type of “restricted” polynomial identity
Journal of Algebra, 1964 exaly +3 more sources
Nil Semi-Groups of Rings with a Polynomial Identity [PDF]
Nagoya Mathematical Journal, 1966 The basic properties of associative rings R satisfying a polynomial identity p[x1…, xn] = 0 were obtained under the assumptions that the ring was an algebra [e.g., [4] Ch. X], or with rather strong restrictions on the ring of operators ([1]). But it is desirable to have these properties for arbitrary rings, and the present paper is the first of an ...
openaire +3 more sources
Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Differential identities in prime rings with involution [PDF]
, 1985 Let R R be a prime ring with involution. Using work of V. K. Kharchenko it is shown that any generalized identity for R R involving derivations of R R and the involution of R R is a ...
Charles Lanski
core +1 more source
Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
The Centre of Some Skew Polynomial Rings [PDF]
, 2009 Let R be any ring with identity 1, σ be an endomorphism and δ be a left σ-derivation. In this paper, we will investigate the centre of some skew polynomial rings in the case when R is a commutative domain and σ is anautomorphism.
Amir, Amir Kamal
core +1 more source
Prime rings satisfying a polynomial identity [PDF]
Proceedings of the American Mathematical Society, 1960 PROOF. Sufficiency is easy and omitted. We recall that B is a twosided quotient ring of its subring A if every element of B can be written ab-1, a, bCA, and also c-ld, c, dCA, and if every element of B not a left (right) zero divisor has a right (left) inverse in B. B is unique given A if it exists.
openaire +1 more source
Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
The Noetherian property for quotient rings of infinite polynomial rings [PDF]
, 1979 Let X be an infinite set of indeterminates over the commutative Noetherian ring R with identity. We prove that the quotient ring of R [ X ] R[X] with respect to the multiplicative system of polynomials of ...
William Heinzer, Robert Gilmer
core +1 more source
Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source