Does the category of rings admit epi-regular mono factorizations?
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Yes, the category of rings does admit epi-regular mono factorizations. This is shown in the paper by Grandis, where it is demonstrated that proper factorization systems in categories can be viewed as unitary pseudo algebras for the "squaring" monad in Cat . Additionally, Renner and Rittatore discuss the decomposition of an irreducible normal algebraic monoid with unit group G, where G_ant is the maximal anti-affine subgroup and G_aff is the maximal normal connected affine subgroup. They extend this decomposition to a decomposition of the monoid M, showing that M=G_antM_aff, where M_aff is the affine submonoid . These results provide evidence for the existence of epi-regular mono factorizations in the category of rings.
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Open access•Posted Content | The provided paper does not discuss the category of rings or epi-regular mono factorizations. |
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| The provided paper does not discuss the category of rings or epi-regular mono factorizations. |
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