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Given matrices A and B shift equivalent over a dense subring R of R,with A primitive, we show that B is strong shift equivalent over R to a primitive matrix. This result shows that the weak form of th...
Let Qn denote the n-dimensional hypercube with the vertex set Vn = {0, 1}n. A 0/1-polytope of Qn is a convex hull of a subset of Vn. This paper is concerned with the enumeration of equivalence classes...
We explore a curious type of equivalence between cer-tain pairs of reflective and coreflective subcategories. We illustrate with examples involving noncommutative duality for C-dynamical systems and...
A natural occurrence of shift equivalence in a purely algebraic setting constitutes the subject matter of the following short exposition.
We prove an equivalence between the derived category of a variety and the equivariant/graded singularity category of a corresponding singular variety. The equivalence also holds at the dg level.
In this paper, we show that if $k\geq (\nu+2)/4$, where $\nu$ denotes the order of a graph, a non-bipartite graph $G$ is $k$-extendable if and only if it is $2k$-factor-critical. If $k\geq (\nu-3)/4$...
We solve the equivalence problem for the orthogonally separable webs on the three-sphere under the action of the isometry group. This continues a classical project initiated by Olevsky in which he sol...
This paper discusses the reliability equivalences of a parallel- series system. It is assumed that the system components are independent and identical. Each has a constant failure rate. We assumed t...
Let y000 = f(x; y; y0; y00) be a 3-rd order ODE. By Cartan equiv- alence method, we will study the local equivalence problem under the transformations group of time-¯xed coordinates. M.S.C. 20...
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable.
Two equivalence theorems and two corollaries are proved pertaining to the equiconvergence of numerical series.
Using reflecting function of Mironenko we constructsome differential systems which are equivalent to the givendifferential system. This gives us an opportunity to find out themonodromic matrix of thes...
By using cutting strips and transformations on outside decompositions of a skew diagram, we show that the Giambelli-type matrices for a given skew Schur function are stably equivalent to each other ov...

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