Results 1 to 10 of about 479 (130)

Matrix invertible extensions over commutative rings. Part I: general theory [PDF]

Journal of Pure and Applied Algebra
Accepted for publication in final form (18 pages) in J. Pure Appl. Algebra on Nov. 18, 2024.
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu   +2 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation

Scientific Annals of Computer Science, 2023
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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A generalization of CHSH and the algebraic structure of optimal strategies [PDF]

Quantum, 2020
$\textit{Self-testing}$ has been a rich area of study in quantum information theory. It allows an experimenter to interact classically with a black box quantum system and to test that a specific entangled state was present and a specific set of ...
David Cui, Arthur Mehta, Hamoon Mousavi, Seyed Sajjad Nezhadi   +3 more
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Correspondences and stable homotopy theory

Transactions of the London Mathematical Society, 2023
A general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra SH is recovered from modules over a commutative symmetric ring ...
Grigory Garkusha
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Some results on PIT and GPIT theorems [PDF]

Journal of Hyperstructures, 2016
In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.
M. Ebrahimpour
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Exact solutions for the fractional differential equations by using the first integral method

Nonlinear Engineering, 2015
In this paper, we apply the first integral method to study the solutions of the nonlinear fractional modified Benjamin-Bona-Mahony equation, the nonlinear fractional modified Zakharov-Kuznetsov equation and the nonlinear fractional Whitham-Broer-
Aminikhah Hossein, Sheikhani A. Refahi, Rezazadeh Hadi   +2 more
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A class of hyperrings and hyperfields

International Journal of Mathematics and Mathematical Sciences, 1983
Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H.
Marc Krasner
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Free summands of stably free modules

Forum of Mathematics, Sigma
Let R be a commutative ring. One may ask when a general R-module P that satisfies $P \oplus R \cong R^n$ has a free summand of a given rank. M. Raynaud translated this question into one about sections of certain maps between Stiefel varieties: if
Sebastian Gant, Ben Williams
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Spectral Curves for Third-Order ODOs

Axioms
Spectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
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Inert Module Extensions, Multiplicatively Closed Subsets Conserving Cyclic Submodules and Factorization in Modules

پژوهش‌های ریاضی, 2019
Introduction Suppose that  is a commutative ring with identity,  is a unitary -module and  is a multiplicatively closed subset of .  Factorization theory in commutative rings, which has a long history, still gets the attention of many researchers ...
Ashkan Nikseresht
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