Closedness Properties of Internal Relations I: a Unified Approach to Mal’tsev, Unital and Subtractive Categories

@inproceedings{Janelidze2006ClosednessPO,
  title={Closedness Properties of Internal Relations I: a Unified Approach to Mal’tsev, Unital and Subtractive Categories},
  author={Zurab Janelidze},
  year={2006}
}
We study closedness properties of internal relations in finitely complete categories, which leads to developing a unified approach to: Mal’tsev categories, in the sense of A. Carboni, J. Lambek and M. C. Pedicchio, that generalize Mal’tsev varieties of universal algebras; unital categories, in the sense of D. Bourn, that generalize pointed Jónsson-Tarski varieties; and subtractive categories, introduced by the author, that generalize pointed subtractive varieties in the sense of A. Ursini. 

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