Some properties of quasiassociative and quasialternative algebras Let A be an algebra over a field F, and λ∈F be an arbitrary fixed element. Then A (λ) denotes the algebra obtained by defining a new multiplication a* λ b=λab+(1-λ)ba on the vector space A. An algebra A is cal...
In this paper we provide some applications of the norm form in some quaternion division algebras over rational field, and we give some properties of Fibonacci sequence and Fibonacci sequence in connection to quaternion elements. We provide some properties of the norm of a rational quaternion algebra...
Certain division algebras over a field of rational functions No Abstract available for this article. AA Kirillov - 《Functional Analysis & Its Applications》 被引量: 12发表: 1967年 Certain classes of division algebras. No Abstract available for this article. Kuzʹmin, E. N - 《Algebra I Log...
Energy Relations and Some Basic Properties of Primate Social Organization1 Recently published field data on non-human primate ecology and social behavior has stimulated much discussion of the control exercised by different environments upon social behavior of populations living within those environments. Her...
The methods discussed in this chapter arose from an attempt to evolve a general metamathematical principle on the basis of which the completeness of certain concepts, including that of a real-closed ordered field, can be deduced without recourse to a detailed procedure of elimination. For the (...
Abstract: We examine string field algebra which is generated by star product in Witten's string field theory including ghost part. We perform calculations using oscillator representation consistently. We construct wedge like states in ghost part and investigate algebras among them. As a by-product ...
Journal of Group Theory Anton A. Baykalov Article February 12, 2025 Adapted spectral-differential method for construction of differentially 4-uniform piecewise-linear permutations, orthomorphisms, and involutions of the field F2n Discrete Mathematics and Applications Andrey V. Menyachikhin Book...
Abstract Kopytov’s 𝜅-order for any algebras over a field is considered. Some results concerning relationships between l-prime radicals and prime radicals in lattice 𝜅-ordered algebras over partially ordered fields are obtained. Also, the notion of a saturated system in an l-algebra is intr...
Abstract The power classes of a field are well-known for their ability to parameterize elementary p-abelian Galois extensions. These classical objects have recently been reexamined through the lens of their Galois module structure. Module decompositions have been computed in several cases, providing dee...
Our analysis shows that the magnetic susceptibility of the TiH exhibits a diamagnetic behaviour, and the specific heat capacity behaviour agrees with the famous Dulong-Petit law when the system is subjected to AB field variations and a fixed magnetic field. Albeit, a slight anomaly is observed ...