Results 31 to 40 of about 1,202 (263)
On structure of certain periodic rings and near-rings
International Journal of Mathematics and Mathematical Sciences, 2000 The aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further ...
Moharram A. Khan
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Rings of Multisets and Integer Multinumbers [PDF]
Mathematics, 2022 In the paper, we consider a ring structure on the Cartesian product of two sets of integer multisets. In this way, we introduce a ring of integer multinumbers as a quotient of the Cartesian product with respect to a natural equivalence. We examine the properties of this ring and construct some isomorphisms to subrings of polynomials and Dirichlet ...
Yuriy Chopyuk +2 more
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Analysis of the RSA-cryptosystem in abstract number rings
Журнал Белорусского государственного университета: Математика, информатика, 2020 Quantum computers can be a real threat to some modern cryptosystems (such as the RSA-cryptosystem). The analogue of the RSA-cryptosystem in abstract number rings is not affected by this threat, as there are currently no factorization algorithms using ...
Nikita V. Kondratyonok
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A class of rings which are algebric over the integers
International Journal of Mathematics and Mathematical Sciences, 1979 A well-known theorem of N. Jacobson states that any periodic associative ring is commutative. Several authors (most notably Kaplansky and Herstein) generalized the periodic polynomial condition and were still able to conclude that the rings under ...
Douglas F. Rall
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Sombor index of zero-divisor graphs of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif +2 more
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Cyclotomic equations and square properties in rings
International Journal of Mathematics and Mathematical Sciences, 1986 If R is a ring, the structure of the projective special linear group PSL2(R) is used to investigate the existence of sum of square properties holding in R.
Benjamin Fine
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On the Fueter Model and Monogeneity of Rings of Integers
Journal of Number Theory, 1993 Let \(L/M\) be an extension of number fields. It is said that \(L\) is monogenic over \(M\) if \({\mathfrak D}_ L={\mathfrak D}_ M[\alpha]\) for some \(\alpha\in {\mathfrak D}_ L\), where \({\mathfrak D}_ L\) denotes the ring of integers in \(L\). Let \(K\) be an imaginary quadratic field in which 2 splits. For an integral ideal \({\mathfrak f}\) let \(
Srivastav, A., Venkataraman, S.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Early risk stratification may support clinical decision‐making in spontaneous intracerebral hemorrhage (ICH). We aimed to develop and internally validate HAGIV, a score integrating frequency of imaging markers (FIM), a time‐adjusted non‐contrast computed tomography (CT) metric of hematoma expansion, with established predictors for 90‐
Lei Song +10 more
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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
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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
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