Algebra

2201 Submissions

[3] viXra:2201.0183 [pdf] submitted on 2022-01-26 16:08:15

On the Converse of Lagrange’s Theorem: An Elementary Proof

Authors: Lamarr Widmer
Comments: 1 Page.

The smallest counterexample to the converse of Lagrange’s Theorem is the alternating group of permutations of four elements. We offer an elementary proof that this group has no subgroup of order 6.
Category: Algebra

[2] viXra:2201.0161 [pdf] submitted on 2022-01-24 02:11:34

Genalgebra: A System of Generalized Algebraic Numbers and Operators

Authors: Huhnkie Lee
Comments: 23 Pages. Thank you-

An historical account of numbers and algebra is narrated. Properties of numbers and operators are reviewed. Expansion of extant number and operator systems is introduced. Philosophy of mathematics is discussed.
Category: Algebra

[1] viXra:2201.0135 [pdf] submitted on 2022-01-21 12:07:36

An Algebra of Infinity

Authors: Huhnkie Lee
Comments: 18 Pages. Thank you very much and a Happy New Year //:-D

Correction of Dirac Delta Function is presented. An algebra of infinity, i.e., Alpha Algebra, is introduced. An algebra of infinitesimality, a.k.a., Omega Algebra, is illustrated.
Category: Algebra