Results 11 to 20 of about 310,373 (322)

Algebraic geometry over algebraic structures. II. Foundations [PDF]

Journal of Mathematical Sciences, 2012
In this paper we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove Unification Theorems which gather the description of coordinate algebras by several ways.
Daniyarova, E. Yu., Myasnikov, A. G., Remeslennikov, V. N.   +2 more
openaire   +4 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

On the sum of the reciprocals of k-generalized Fibonacci numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this note, we that if {Fn(k)}n≥0{\left\{ {F_n^{\left( k \right)}} \right\}_{n \ge 0}} denotes the k-generalized Fibonacci sequence then for n ≥ 2 the closest integer to the reciprocal of ∑m≥n1/Fm(k)\sum\nolimits_{m \ge n} {1/F_m^{\left( k \right)}} is
Alahmadi Adel, Luca Florian
doaj   +1 more source

Connections between Linear Complementary Dual Codes, Permanents and Geometry

Mathematics, 2023
Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi, Husain S. Alhazmi, Hatoon Shoaib, David G. Glynn, Saeed Ur Rehman, Patrick Solé   +5 more
doaj   +1 more source

On Symbolic Plithogenic Algebraic Structures and Hyper Structures [PDF]

Neutrosophic Sets and Systems, 2023
The objective of this paper is to study symbolic Plithogenic algebraic structures and hyper structures. In particular, we study symbolic Plithogenic group, symbolic Plithogenic ring, symbolic Plithogenic hypergroup and symbolic Plithogenic canonical ...
A.A.A. Agboola, M.A. Ibrahim
doaj   +1 more source

Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four

Mathematics, 2023
We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi, Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez, Patrick Solé   +4 more
doaj   +1 more source

Free algebra structure: categorical algebras [PDF]

Bulletin of the Australian Mathematical Society, 1970
One of the more important concepts in the study of universal algebras is that of a free algebra. It is our purpose in this communication to describe the structure of the free algebra Kk() of k generators (k a positive integer) determined by a categorical algebra, and to indicate how this information encompasses results in such diverse areas as the ...
openaire   +2 more sources

Structurable H∗-algebras

Journal of Algebra, 1992
A structurable algebra is an algebra with involution \((A,\tau)\) satisfying \((s,x,y)=-(x,s,y)\), \((a,b,c)-(b,a,c)=(c,a,b)-(c,b,a)\) and \(\frac23[[a^ 2,a],b]=(b,a^2,a)-(b,a,a^2)\) for any symmetric elements (with respect to the involution \(\tau\)) \(a\), \(b\), \(c\), skew- symmetric \(s\) and arbitrary \(x\), \(y\) in \(A\).
Cabrera, M, Martinez, J, Rodriguez, A
openaire   +2 more sources

Moduli stacks of algebraic structures and deformation theory [PDF]

, 2015
We connect the homotopy type of simplicial moduli spaces of algebraic structures to the cohomology of their deformation complexes. Then we prove that under several assumptions, mapping spaces of algebras over a monad in an appropriate diagram category ...
Yalin, Sinan
core   +1 more source

THE (△,□)-EDGE GRAPH G△,□ OF A GRAPH G [PDF]

Journal of Algebraic Systems, 2020
To a simple graph $G=(V,E)$, we correspond a simple graph $G_{\triangle,\square}$ whose vertex set is $\{\{x,y\}: x,y\in V\}$ and two vertices $\{x,y\},\{z,w\}\in G_{\triangle,\square}$ are adjacent if and only if $\{x,z\},\{x,w\},\{y,z\},\{y,w\}\in V ...
Gh. A. Nasiriboroujeni, M. Mirzavaziri, A. Erfanian   +2 more
doaj   +1 more source