Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies chain ...

1 School of Mathematics, Shanghai University of Finance and Economics, Shanghai, China. The category of left -comodule is denoted by. For more about modules and comodules, see [1] -[3] . (a1) is a ...

Weak Hopf algebras were introduced by G. Böhm and K. Szlachányi as a generalization of usual Hopf algebras and groupoid algebras [1] [2] . A weak Hopf algebra is a vector space that has both algebra ...

For a Hopf algebra B, we endow the Heisenberg double H(B^*) with the structure of a module algebra over the Drinfeld double D(B). Based on this property, we propose that H(B^*) is to be the ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...

Abstract: In this note we correct an oversight in [A geometric model for the module category of a gentle algebra, Int. Math. Res. Not. IMRN 2021, no. 15, 11357–11392] regarding morphisms between ...

We show that the full matrix algebra Mat_p(C) is a quantum commutative U-module algebra for U=U_q sl(2), a quantum sl(2) group at the 2p-th root of unity. Mat_p(C) decomposes into a direct sum of ...

Created with R2024a. Compatible with R2024a and later releases. This curriculum module contains interactive MATLAB® live scripts that teach fundamental matrix methods commonly taught in introductory ...

Abstract: Considering the error propagation effect and high complexity of vertical bell labs layered space time (VBLAST), a novel nonlinear module algebra precoding ...

There are more undocumented features which will be explained once the design matures. Fundamental principle of design is to construct Field algebra from an abelian Group algebra construction built on ...