### Publications

### Publications

- Z. Janelidze, Characterization of pointed varieties of universal algebras with normal projections, Theory and Applications of Categories 11, 2003, 212-214
- Z. Janelidze, Varieties of universal algebras with normal local projections, Georgian Mathematical Journal 11, 2004, 93-98
- Z. Janelidze, Subtractive categories, Applied Categorical Structures 13, 2005, 343-350
- Z. Janelidze, Closedness properties of internal relations I: A unified approach to Mal’tsev, unital and subtractive categories, Theory and Applications of Categories 16, 2006, 236-261
- Z. Janelidze, Closedness properties of internal relations II: Bourn localization, Theory and Applications of Categories 16, 2006, 262-282
- Z. Janelidze, Closedness properties of internal relations IV: Expressing additivity of a category via subtractivity, Journal of Homotopy and Related Structures 1, 2006, 219-227
- Z. Janelidze, Closedness properties of internal relations III: Pointed protomodular categories, Applied Categorical Structures 15, No. 3, 2007, 325-338
- Z. Janelidze, Closedness properties of internal relations V: Linear Mal’tsev conditions, Algebra Universalis 58, 2008, 105-117
- D. Bourn and Z. Janelidze, Approximate Mal’tsev operations, Theory and Applications of Categories 21, 2008, 152-171
- Z. Janelidze, Cover relations on categories, Applied Categorical Structures 17, 2009, 351-371
- D. Bourn and Z. Janelidze, Subtractive categories and extended subtractions, Applied Categorical Structures 17, 2009, 317-343
- D. Bourn and Z. Janelidze, Pointed protomodularity via natural imaginary subtractions, Journal of Pure and Applied Algebra 213, 2009, 1835-1851
- Z. Janelidze, Closedness properties of internal relations VI: Approximate operations, Cahiers de Topologie et Géométrie Différentielle Catégoriques 50, 2009, 298-319
- Z. Janelidze, The pointed subobject functor, 3x3 lemmas, and subtractivity of spans, Theory and Applications of Categories 23, 2010, 221-242
- Z. Janelidze and A. Ursini, Split short five lemma for clots and subtractive categories, Applied Categorical Structures 19, 2011, 233-255
- D. Bourn and Z. Janelidze, Categorical (binary) difference terms and protomodularity, Algebra Universalis 66, 2011, 277-316
- Z. Janelidze and N. Martins-Ferreira, Weakly Mal’tsev categories and strong relations, Theory and Applications of Categories 27, 2012, 65-79
- M. Gran, Z. Janelidze, D. Rodelo, and A. Ursini, Symmetry of regular diamonds, the Goursat property, and subtractivity, Theory and Applications of Categories 27, 2012, 80-96
- M. Gran, Z. Janelidze, and A. Ursini, A good theory of ideals in regular multi-pointed categories, Journal of Pure and Applied Algebra 216, 2012, 1905-1919
- M. Gran, Z. Janelidze, and D. Rodelo, 3x3 lemma for star-exact sequences, Homology, Homotopy and Applications 14(2), 2012, 1-22
- Z. Janelidze, An axiomatic survey of diagram lemmas for non-abelian group-like structures, Journal of Algebra 370, 2012, 387-401
- D. Rodelo, Z. Janelidze, and T. Van der Linden, Hagemann’s theorem for regular categories, Journal of Homotopy and Related Structures 9, 2014, 55-66
- Z. Janelidze, On the Form of Subobjects in Semi-Abelian and Regular Protomodular Categories, Applied Categorical Structures 22, 2014, 755-766
- M. Gran and Z. Janelidze, Star-regularity and regular completions, Journal of Pure and Applied Algebra 218, 2014, 1771-1782
- Z. Janelidze and T. Weighill, Duality in non-abelian algebra I. From cover relations to grandis ex2-categories, Theory and Applications of Categories 29, 2014, 315-331
- D. Bourn and Z. Janelidze, A note on the abelianization functor, Communications in Algebra 44, 2016, 2009-2033
- Z. Janelidze and T. Weighill, Duality in non-abelian algebra II. From Isbell bicategories to Grandis exact categories, Journal of Homotopy and Related Structures 11, 2016, 553-570
- Z. Janelidze, Duality for diagram chasing a la Mac Lane in non-abelian categories, Homology, Homotopy and Applications 18, 2016, 85-106
- Z. Janelidze and T. Weighill, Duality in non-abelian algebra III. Normal categories and 0-regular varieties, Algebra Universalis 77, 2017, 1-28
- Z. Janelidze and N. Martins-Ferreira, Involution-rigidness – a new exactness property, and its weak version, Journal of Algebra and Its Applications 16, 2017, 1750074
- Z. Janelidze and E. Vitale, Snail lemma in a pointed regular category, Journal of Pure and Applied Algebra 221, 2017, 135-143
- M. Duckerts-Antoine, M. Gran and Z. Janelidze, Epireflective subcategories via epi-closure operators, Theory and Applications of Categories 32, 2017, 526-546
- A. Goswami and Z. Janelidze, On the structure of zero morphisms in a quasi-pointed category, Applied Categorical Structures 25, 2017, 1037-1043
- Z. Janelidze and A. M. Abdalla, An order-theoretic perspective on categorial closure operators, Quaestiones Mathematicae 41, 2018, 529-539
- A. Goswami and Z. Janelidze, Duality in non-abelian algebra IV. Duality for groups and a universal isomorphism theorem, Advances in Mathematics 349, 2019, 781-812
- M. Hoefnagel, Z. Janelidze, and D. Rodelo, On difunctionality of class relations, Algebra Universalis 81, Article 19, 2020 (15 pages)
- P.-A. Jacqmin and Z. Janelidze, On stability of exactness properties under the pro-completion, Advances of Mathematics 377, 2021, 107484 (55 pages)
- P.-A. Jacqmin and Z. Janelidze, On linear exactness properties, Journal of Algebra 583, 2021, 38-88.
- Z. Janelidze, H. Prodinger, and F. van Niekerk, Combinatorics arising from lax colimits of posets, submitted for publication in 2020 (29 pages)
- Z. Janelidze, I. van der Berg, A Dedekind-style axiomatization and the corresponding universal property of an ordinal number system, submitted for publication in 2020 (22 pages)
- M. Hoefnagel, P.-A. Jacqmin, and Z. Janelidze, The matrix taxonomy of finitely complete categories, submitted for publication in 2020 (38 pages)
- Z. Janelidze and F. K. van Niekerk, An introduction to noetherian forms admitting exact join decomposition, in preparation since 2019
- Z. Janelidze, F. K. van Niekerk and J. Viljoen, On the endomatch index of a digraph, in preparation since 2020
- M. Hoefnagel, P.-A. Jacqmin, Z. Janelidze, and E. van der Walt, On binary matrix properties, in preparation since 2020