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math.RA2020
On cyclic left modules and arbitrary bimodules over the octonions
Máté Lehel Juhász
Qinghai Huo, Yong Li, Guangbin Ren described the structure of left -modules in great detail in arXiv:1911.08282. However, they left open a question on cyclic left $\mat…
math.RA2017★ 1 cited
Isometries of virtual quadratic spaces
Mate L. Juhasz
In this article, we introduce a new object, a virtual quadratic space, and its group of isometries. They are presented as natural generalizations of quadratic spaces and orthogonal…
math.RA2017
Algebraic geometry over the residue field of the infinite place
Marton Hablicsek, Mate Lehel Juhasz
Nikolai Durov introduced the theory of generalized rings and schemes to study Arakelov geometry in an alternative algebraic framework, and introduced the residue field at the infin…