Generalizes the well-known regularity of ring elements to regularity of homomorphisms in module categories, and further to regularity of morphisms in any category. This work characterizes regular homomorphisms in terms of decompositions of domain and codomain, and presents numerous other results.
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Generalizes the well-known regularity of ring elements to regularity of homomorphisms in module categories, and further to regularity of morphisms in any category. This work characterizes regular homomorphisms in terms of decompositions of domain and codomain, and presents numerous other results.