Three papers on the t-algebra, t-scalars, and t-matrices, even generalized tensors, are given.

(1) https://arxiv.org/abs/2001.11708 Generalized Visual Information Analysis via Tensorial Algebra

(2) https://arxiv.org/abs/2011.00307 General Data Analytics with Applications to Visual Information Analysis: A Provable Backward-Compatible Semisimple Paradigm over T-Algebra

(3) https://arxiv.org/abs/2202.00450 Approximation of Images via Generalized Higher Order Singular Value Decomposition over Finite-dimensional Commutative Semisimple Algebra

(4) https://arxiv.org/abs/2101.06650 Generalized Image Reconstruction over T-Algebra

A novel semisimple commutative algebra and a generalized matrix paradigm over the algebra.

Generalized Data Analytics with Algebraic Modules Rather Than Algebraic Vector Spaces.