Results 61 to 70 of about 614,346 (163)

Generalized equivalence of matrices over Prüfer domains

International Journal of Mathematics and Mathematical Sciences, 1991
Two m×n matrices A,B over a commutative ring R are equivalent in case there are invertible matrices P, Q over R with B=PAQ. While any m×n matrix over a principle ideal domain can be diagonalized, the same is not true for Dedekind domains.
Frank DeMeyer, Hainya Kakakhail
doaj   +1 more source

New Direct Sum Tests

A function $f:[n]^{d} \to \mathbb{F}_2$ is a \defn{direct sum} if there are functions $L_i:[n]\to \mathbb{F}_2$ such that ${f(x) = \sum_{i}L_i(x_i)}$. In this work we give multiple results related to the property testing of direct sums. Our first result concerns a test proposed by Dinur and Golubev in 2019. We call their test the Diamond test and show
Westover, Alek, Yu, Edward, Zheng, Kai Zhe   +2 more
openaire   +4 more sources

On Generalized (α-ψ)-Contraction With Rational Contraction Type on Generalized Metric Space Endowed With the Orthogonal Direct Sum

Journal of Mathematics
This paper explores fixed point theory, focusing on (α-ψ)-contraction-type operators defined on complete generalized metric spaces with an orthogonal direct sum structure.
Ghadah Albeladi, Saleh Omran
doaj   +1 more source

Direct Sum Cancellation of Noetherian Modules

Journal of Algebra, 1998
Given a ring \(R\) with unit element and left \(R\)-modules \(A\), \(B\) and \(C\) that satisfy \(A\oplus C\simeq B\oplus C\), it is generally not true that \(A\simeq B\). Nevertheless, whenever \(C\) is noetherian, then \(A\) and \(B\) turn out to be indistinguishable by functions on the category of \(R\)-modules that respect short exact sequences ...
openaire   +2 more sources

On direct and inverse problems related to some dilated sumsets

Comptes Rendus. Mathématique
Let $A$ be a nonempty finite set of integers. For a real number $m$, the set $m\cdot A=\lbrace ma: a\in A\rbrace $ denotes the set of $m$-dilates of $A$.
Kaur, Ramandeep, Singh, Sandeep
doaj   +1 more source

Examples of Matrix Factorizations from SYZ

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We find matrix factorization corresponding to an anti-diagonal in CP^1×CP^1, and circle fibers in weighted projective lines using the idea of Chan and Leung of Strominger-Yau-Zaslow transformations. For the tear drop orbifolds, we apply this idea to find
Cheol-Hyun Cho, Hansol Hong, Sangwook Lee   +2 more
doaj   +1 more source

Siblings of direct sums of chains

Archive for Mathematical Logic
We prove that a countable direct sum of chains has either one, countably many or else continuum many isomorphism classes of siblings. This proves Thomassé's conjecture for such structures. Further, we show that a direct sum of chains of any cardinality has one or infinitely many siblings, up to isomorphism.
openaire   +2 more sources

Representative sets and direct sums [PDF]

Proceedings of the American Mathematical Society, 1964
openaire   +2 more sources

Orthogonal Direct Sum Masking [PDF]

, 2014
Julien Bringer, Claude Carlet, Hervé Chabanne, Sylvain Guilley, Houssem Maghrebi   +4 more
openaire   +1 more source

An explanatory composite metric for air cargo network robustness: incorporating pairwise synergistic effects. [PDF]

Sci Rep
Zhou H, Razavi S.
europepmc   +1 more source