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On the characterization of Jónsson-Tarski and of subtractive varieties

We investigate unital, subtractive and strongly unital regular categories with enough projectives and give characterizations of their projective covers. The categorical equation "strongly unital = unital + subtractive" is explored: this leads to proofs of their varietal characterizations in terms of the categorical properties of the corresponding algebraic theories.

preprint2014arXivOpen access
Marino GranDiana Rodelo
math.CT
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Marino GranDiana Rodelo

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