Studies on quasisymmetric functions by Grinberg, Darij

Get full text

Quantum Latin squares and quantum functions: applications in quantum information by Musto, BJ

“…We introduce new tensor diagrammatic characterizations of maximal families of MUBs, partitioned UEBs, and finite fields as algebraic structures defined over Hilbert spaces.</p> <p> In Part III we introduce quantum functions and quantum sets, which quantize the classical notions. …”

Classification Of First Class 9-Dimensional Complex Filiform Leibniz Algebras by Obaiys, Sozan J.

“…L de¯ning a binary algebraic operation on L : let fe1; e2; : : : ; eng be a basis of the algebra L: Then the table of multiplication of L is represented by point (°k ij) of this a±ne space as follows: ¸(ei; ej) = Xn k=1 °k ijek: Here °k ij are called structural constants of L: The linear reductive group GLn(K) acts on Algn(K) by (g ¤ ¸)(x; y) = g(¸(g¡1(x); g¡1(y)))(\transport of struc- ture"). Two algebra structures ¸1 and ¸2 on V are isomorphic if and only if they belong to the same orbit under this action.Recall that an algebra L over a ¯eld K is called a Leibniz algebra if its binary operation satis¯es the following Leibniz identity: [x; [y; z]] = [[x; y]; z] ¡ [[x; z]; y]; Leibniz algebras were introduced by J.…”
Get full text

Measurement Model of Women’s Preferences in Obstetrician and Gynecologist Selection in the Private Sector: Exploratory and Confirmatory Factor Analysis by Masood Setoodefar, Hamed Tabesh, Fatemeh Tara, Saeed Eslami, Fatemeh Heshmati Nabavi, Najmeh Valizadeh Zare, Seyyed Hassan Taheri, Mohammad Reza Rajabzadeh Moghaddam, Kobra Etminani

Get full text

Some Results on Submodules Using (<b><i>μ</i></b>,<b><i>ν</i></b>,<b><i>ω</i></b>)-Single-Valued Neutrosophic Environment by Muhammad Shazib Hameed, Esmail Hassan Abdullatif Al-Sabri, Zaheer Ahmad, Shahbaz Ali, Muhammad Usman Ghani

“…The purpose of this study is to gain an understanding of the algebraic structures of single-valued neutrosophic submodules under the triplet structure of a classical module and to improve the validity of this method by analyzing a variety of important facets. …”
Get full text

Improved Reduction Between SIS Problems Over Structured Lattices by Zahyun Koo, Yongwoo Lee, Joon-Woo Lee, Jong-Seon No, Young-Sik Kim

“…Many lattice-based cryptographic schemes are constructed based on hard problems on an algebraic structured lattice, such as the short integer solution (SIS) problems. …”
Get full text

𝒩-Structures Applied to Commutative Ideals of BCI-Algebras by Ghulam Muhiuddin, Mohamed E. Elnair, Deena Al-Kadi

“…The study of symmetry is one of the most important and beautiful themes uniting various areas of contemporary arithmetic. Algebraic structures are useful structures in pure mathematics for learning a geometrical object’s symmetries. …”
Get full text

Note on de Haas-van Alphen diamagnetism in thin, free-electron films by J. A. Grzesik

“…Apart from some minor notes of passing discord, these simple algebraic structures confirm most of the CP formulae, and their graphic display reveals a numerically faithful portrait of the oscillatory dHvA diamagnetic susceptibility phenomenon. …”
Get full text

Solutions of the Yang–Baxter Equation and Automaticity Related to Kronecker Modules by Agustín Moreno Cañadas, Pedro Fernando Fernández Espinosa, Adolfo Ballester-Bolinches

“…This paper proves that some indecomposable modules over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">K</mi></semantics></math></inline-formula> called pre-injective Kronecker modules give rise to some algebraic structures called skew braces which allow the solutions of the YBE. …”
Get full text

Generic and Indexed Programming

“…<i>Generic programming</i> is about making programs more widely applicable via exotic kinds of parametrization—not just along the dimensions of values or of types, but also of things such as the shape of data, algebraic structures, strategies, computational paradigms, and so on. …”

Quaternifications and Extensions of Current Algebras on S3 by Tosiaki Kori, Yuto Imai

“…Let \(S^3\mathbf{H}\) be the ( non-commutative) algebra of \(\mathbf{H}\)-valued smooth mappings over \(S^3\) and let \(S^3\mathfrak{g}^{\mathbf{H}}=S^3\mathbf{H}\otimes U(\mathfrak{g})\). The Lie algebra structure on \(S^3\mathfrak{g}^{\mathbf{H}}\) is induced naturally from that of \(\mathfrak{g}^{\mathbf{H}}\). …”
Get full text

Groups and Structures of Commutative Semigroups in the Context of Cubic Multi-Polar Structures by Anas Al-Masarwah, Mohammed Alqahtani, Majdoleen Abu Qamar

“…In recent years, the <i>m</i>-polar fuzziness structure and the cubic structure have piqued the interest of researchers and have been commonly implemented in algebraic structures like groupoids, semigroups, groups, rings and lattices. …”
Get full text