Zobrazeno 1 - 10
of 95
pro vyhledávání: '"17C27"'
Hsiang algebras are a class of nonassociative algebra defined in terms of a relation quartic in elements of the algebra. This class arises naturally in relation to the construction of real algebraic minimal cones. Additionally, Hsiang algebras were c
Externí odkaz:
http://arxiv.org/abs/2410.14267
Autor:
Rowen, Louis Halle, Segev, Yoav
In earlier work we studied the structure of primitive axial algebras of Jordan type (PAJ's), not necessarily commutative, in terms of their primitive axes. In this paper we weaken primitivity and permit several pairs of (left and right) eigenvalues s
Externí odkaz:
http://arxiv.org/abs/2408.08606
Autor:
Bakshi, Gurmeet Kaur, Garg, Jyoti
For the rational group algebra $\mathbb{Q}G$ of a finite group $G$, we provide an effective method to compute a complete set of matrix units and, in particular, primitive orthogonal idempotents in a simple component of $\mathbb{Q}G$, which is realize
Externí odkaz:
http://arxiv.org/abs/2406.10113
Autor:
Biswas, Rounak, Roy, Falguni
Consider a complex unital Banach algebra $\mathcal{A}.$ For $x_1,x_2,x_3\in\mathcal{A},$ in this paper, we establish that under certain assumptions on $x_1,x_2,x_3$, Drazin (resp. g-Drazin) invertibility of any three elements among $x_1,x_2,x_3$ and
Externí odkaz:
http://arxiv.org/abs/2405.08615
Autor:
Desmet, Jari
We show that a primitive axial algebra of Jordan type $\eta = \tfrac{1}{2}$ is a Jordan algebra if and only if every $2$-generated subalgebra is \emph{solid}, a notion introduced recently by Ilya Gorshkov, Sergey Shpectorov and Alexei Staroletov. As
Externí odkaz:
http://arxiv.org/abs/2403.18808
Autor:
Biswas, Rounak, Roy, Falguni
For two given idempotents $p\text{ and }q$ from an associative algebra $\mathcal{A},$ in this paper, we offer a comprehensive classification of algebras spanned by the idempotents $p\text{ and }q$. This classification is based on the condition that $
Externí odkaz:
http://arxiv.org/abs/2402.11460
Autor:
Tarizadeh, Abolfazl
In this article, we first prove a general theorem which asserts that every quasi-component of a quasi-spectral space is connected. As an application, it is shown that every connected component of a quasi-compact quasi-separated scheme is the intersec
Externí odkaz:
http://arxiv.org/abs/2401.05185
Completely mixed linear games and irreducibility concepts for Z-transformations over self-dual cones
Autor:
Gowda, Muddappa Seetharama
In the setting of a self-dual cone in a finite-dimensional inner product space, we consider (zero-sum) linear games. In our previous work, we showed that a Z-transformation with positive value is completely mixed. The present paper considers the case
Externí odkaz:
http://arxiv.org/abs/2310.13464
We show that pseudo-composition algebras and train algebras of rank 3 generated by idempotents are characterized as axial algebras with fusion laws derived from the Peirce decompositions of idempotents in these classes of algebras. The corresponding
Externí odkaz:
http://arxiv.org/abs/2309.05237
In this paper, we prove that a bijective map $\varphi$ over a ring $R$ with a non-trivial idempotent satisfying $\varphi(ab)=\varphi(a)\varphi(b),$ for all $a,b\in R$, is additive. Also, we prove that a map $D$ on $R$ satisfying $D(ab)=D(a)b+\varphi(
Externí odkaz:
http://arxiv.org/abs/2302.14571