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math.CT2021
Cokernels in the stable category of a left hereditary ring
Dali Zangurashvili
It is proved that if a ring is left hereditary, left perfect and right coherent, then the stable category has cokernels. Moreover, we show that the condition for a ring to be left…
math.CT2021
Ideals in BIT speciale varieties
Dali Zangurashvili
Ideals in BIT speciale varieties are characterized. In particular, it is proved that, for any finitary BIT speciale variety, there is a finite set of ideal terms determining ideals…
math.CT2021
Right-cancellable protomodular algebras
Dali Zangurashvili
A new protomodular analog of the classical criterion for the existence of a group term in the algebraic theory of a variety of universal algebras is given. To this end, the notion…