The study of monadic algebraic structures in combination with fuzzy logic offers a robust framework for modelling and analysing uncertainty and graded truth. These frameworks extend classical ...

Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

A generalization of the semisimplicity concept for polyadic algebraic structures is proposed. If semisimple structures can be presented as block diagonal matrices (resulting in the Wedderburn ...

which then must satisfy various conditions which encode the fact that they fit together to give a functor E → \vec{E} as above. By the universal property of Garner’s small object argument, cofibrantly ...

Briefly, an algebraic model category is an ordinary model category in which the functorial factorizations take the form described above and such that there is also a natural transformation comparing ...

This project is a Python script designed to generate various algebraic structures such as semigroups, Abelian groups, and subgroups of a given order. It provides functionalities to explore and ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Let $Z/n$ denote the integers $\operatorname{mod} n$ and let $\mathscr{F}_n$ denote the finite Fourier transform on $L^2(Z/n)$. We let $\bigoplus\Sigma \mathscr{F}_n ...

ABSTRACT: We consider the spectrum-preserving maps on positive definite cones of C*-algebras or von Neumann algebras. We first introduce some basic properties of Jordan isomorphism. Then, we study the ...

Interfaces abstract algebra's, and the concept of 'uncertain number'. Based on that some structures related to physics, like physical numbers, which are uncertain numbers with dimensional analysis.