Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points by Qi-Ming Zhang, Feng Li, Yulin Zhao

“…With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the first quadrant. …”
Get full text

Primary decomposition of torsion R[X]-modules by William A. Adkins

“…This is a generalization of the classical fact from linear algebra that a diagonalizable linear transformation on a vector space restricts to a diagonalizable linear transformation of any invariant subspace. …”
Get full text

Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations by Shou-Ting Chen, Wen-Xiu Ma

“…We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation and the corresponding bilinear equation. …”
Get full text

Thermodynamic matrix exponentials and thermodynamic parallelism by Samuel Duffield, Maxwell Aifer, Gavin Crooks, Thomas Ahle, Patrick J. Coles

“…It was recently shown that certain linear algebra problems can be solved thermodynamically, leading to a speedup scaling with the matrix dimension. …”
Get full text

Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM by Özlem Yeşiltaş

“…In addition, using the aspects of the Lie algebraic approaches, the iso(2,1) algebra is also applied to the system where we have arrived at the spectrum solutions of the extended potentials using the Casimir operator that matches with the results of the exact solutions.…”
Get full text

Normal characterizations of lattices by Carmen D. Vlad

“…Let 𝒜(ℒ) denote the algebra generated by ℒ and I(ℒ) denote those nontrivial, zero-one valued, finitely additive measures on 𝒜(ℒ). …”
Get full text

Poisson structures on cotangent bundles by Gabriel Mitric

“…We make a study of Poisson structures of T∗M which are graded structures when restricted to the fiberwise polynomial algebra and we give examples. A class of more general graded bivector fields which induce a given Poisson structure w on the base manifold M is constructed. …”
Get full text

Factorization Method in Oscillator with the Aharonov-Casher System by J. Sadeghi, Jalil Naji, Behnam Pourhassan

“…The corresponding operators give us the generators of the algebra.…”
Get full text

Aspects of using computer programs in teaching higher mathematics at university by Ekaterina V. Mazurenko

“…The possibility of using mathematical software in the study of linear algebra by first-year students of a technical university is justified.…”
Get full text

Non-interference trusted model based on processes by ZHANG Xing1, CHEN You-lei2, SHEN Chang-xiang2

“…A novel abstract model for the design of trusted computing platform system was proposed.By using the basic idea of non-interference theory as reference and introduces the reasoning method of process algebra, thus abstracting the system as processes, actions, states and outputs, and giving the formal definition of the trusted of process running.Process isolation trusted theorem was verified formally.Furthermore, by associating process with system state, the definition and the theorem of system running trusted was proposed.The model was established by logic reasoning and independent of special security mechanism and enforcement.The trust of the running system can be realized by any method which satisfies the conditions of the model.…”
Get full text

r-neutrosophic subset of G-submodules by BINU R

“…This article explains a particular category of neutrosophic subsets of G-submodules, specifically r-neutrosophic subsets, where r ∈ [0, 1]. The algebra of r-neutrosophic subsets of G-submodules is dis-cussed, along with some fundamental characteristics of their sum. …”
Get full text

The Strong Disjoint Blow-Up/Collapse Property by Héctor N. Salas

“…Let be a topological vector space, and let be the algebra of continuous linear operators on . The operators are disjoint hypercyclic if there is such that the orbit is dense in . …”
Get full text

Algebro-Geometric Solutions for a Discrete Integrable Equation by Mengshuang Tao, Huanhe Dong

“…With the assistance of a Lie algebra whose element is a matrix, we introduce a discrete spectral problem. …”
Get full text

The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures by Juhui Zhang, Yuqin Yao

“…Furthermore, based on the semidirect sums of matrix Lie algebras consisting of 3×3 block matrix Lie algebra, the bi-integrable couplings of the 2-CQLTH are constructed and their bi-Hamiltonian structures are furnished.…”
Get full text

Statistical Entropy of Quantum Black Holes in the Presence of Quantum Gravity Effects by A. D. Kamali, H. Shababi

“…We investigate the effects of deformed algebra, admitted from minimal length, on canonical description of quantum black holes. …”
Get full text

Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) by Yan Cao, Liangyun Chen, Baiying He

“…Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. …”
Get full text

Some Intersections of the Weighted -Spaces by F. Abtahi, H. G. Amini, H. A. Lotfi, A. Rejali

“…Furthermore, for an arbitrary subset of and a positive submultiplicative weight function on , Banach subspace of is introduced. Then some algebraic properties of , as a Banach algebra under convolution product, are investigated.…”
Get full text

Multiplicative polynomials and Fermat's little theorem for non-primes by Paul Milnes, C. Stanley-Albarda

“…Also presented are characterizations of the gn's and an indication of the ideas from topological dynamics and algebra that brought these matters to our attention.…”
Get full text

SMARANDACHE ANTI ZERO DIVISORS by Rebin M. Hassan, Suham H. Awla

“…Accordingly, a Computer Algebra System (GAP) is used to verify the results of this study …”
Get full text

Random trilinear forms and the Schur multiplication of tensors by Ibrahim Almasri, Jinlu Li, Andrew Tonge

“…As an application, we make progress on the problem when ℓr⊗⌣ℓp⊗⌣ℓq is a Banach algebra under the Schur multiplication.…”
Get full text