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[2] viXra:2208.0158 [pdf] submitted on 2022-08-30 00:44:40
Authors: Shao-Dan Lee
Comments: 14 Pages.
A sheaf is constructed on a topological space. But a topological space is a bounded distributive lattice. Hence we may construct a sheaf of lattices on a bounded dis- tributive lattice. Then we define a stalk of the sheaf at a chain in a bounded distributive lattice. And we define a morphism of the sheaves, that the morphism is induced by a homo- morphism of the bounded distributive lattices. Then the kernel and image of the morphism are the subsheaves. A sheaf is obtained by gluing sheaves together.
Category: Algebra
[1] viXra:2208.0149 [pdf] submitted on 2022-08-27 07:30:18
Authors: Jesús Sánchez
Comments: 10 Pages.
In this paper, we will use geometric algebra to derive sets of octonions that have associative property (unlike the original ones that cannot keep it). The price to pay is that is not possible to keep all the elements of the diagonal with -1 but at least one of them has to be +1. Also, the anticommutative property is affected.
Category: Algebra
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