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 ...

Linear algebra is a representation of linear equations. You can separate the known constants from unknown variables to represent your system of equations. Take the ...

Algebra and calculus are essential branches of mathematics and for most students are the main areas of maths they have seen at high school. Algebra involves manipulating expressions and solving ...

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 ...

Linear algebra is one of the most powerful branches of mathematics – and one of the most useful. It is at the heart of modern science, technology, and engineering. It is the foundation for everything ...

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Before reading this guide, it may be helpful to read the guide from Module 7 (M7) about proportion and variation. Module 7 (M7) proportion and variation is concerned with direct proportion between two ...

Save guides, add subjects and pick up where you left off with your BBC account. Before reading this guide, it may be helpful to read the guide from Module 7 (M7) about proportion and variation. Module ...