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Problems from Algebra by Michael Artin : Left inverse for matrices
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By using elementary language we discuss the idea for a complete criteria for existence of left inverse for matrices.
In language of category theory this establishes that in the category FinLin monomorphisms, injective mappings and sections are all same.
In terms of module theory, this says that All modules over fields are injective modules.
My links:
In language of category theory this establishes that in the category FinLin monomorphisms, injective mappings and sections are all same.
In terms of module theory, this says that All modules over fields are injective modules.
My links:
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