Steve Lack

Associate Professor

  • 1285 Citations
  • 19 h-Index
1993 …2020

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Outputs

Filter
Article
2020

Braided skew monoidal categories

Bourke, J. & Lack, S., 2020, In : Theory and Applications of Categories. 35, p. 19-63 45 p., 2.

Research output: Contribution to journalArticle

Open Access

Enriched regular theories

Lack, S. & Tendas, G., Jun 2020, In : Journal of Pure and Applied Algebra. 224, 6, p. 1-29 29 p., 106268.

Research output: Contribution to journalArticle

2018

Free skew monoidal categories

Bourke, J. & Lack, S., Oct 2018, In : Journal of Pure and Applied Algebra. 222, 10, p. 3255-3281 27 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Hochschild homology, lax codescent, and duplicial structure

Garner, R., Lack, S. & Slevin, P., 2018, In : Annals of k-Theory. 3, 1, p. 1-31 31 p.

Research output: Contribution to journalArticle

Skew monoidal categories and skew multicategories

Bourke, J. & Lack, S., 15 Jul 2018, In : Journal of Algebra. 506, p. 237-266 30 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Weak multiplier bimonoids

Böhm, G., Gómez-Torrecillas, J. & Lack, S., Feb 2018, In : Applied Categorical Structures. 26, 1, p. 47–111 65 p.

Research output: Contribution to journalArticle

2017

A category of multiplier bimonoids

Böhm, G. & Lack, S., 2017, In : Applied Categorical Structures. 25, 2, p. 279-301 23 p.

Research output: Contribution to journalArticle

Multiplier Hopf monoids

Böhm, G. & Lack, S., 2017, In : Algebras and Representation Theory. 20, 1, p. 1-46 46 p.

Research output: Contribution to journalArticle

2016

Homotopy locally presentable enriched categories

Lack, S. & Rosický, J., 2 Aug 2016, In : Theory and Applications of Categories. 31, p. 712-754 43 p., 25.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Hopf comonads on naturally Frobenius map-monoidales

Böhm, G. & Lack, S., 1 Jun 2016, In : Journal of Pure and Applied Algebra. 220, 6, p. 2177-2213 37 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Semi-localizations of semi-abelian categories

Gran, M. & Lack, S., 15 May 2016, In : Journal of Algebra. 454, p. 206-232 27 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2015

Combinatorial categorical equivalences of Dold-Kan type

Lack, S. & Street, R., Oct 2015, In : Journal of Pure and Applied Algebra. 219, 10, p. 4343-4367 25 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Multiplier bialgebras in braided monoidal categories

Böhm, G. & Lack, S., 1 Feb 2015, In : Journal of Algebra. 423, p. 853-889 37 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Skew-monoidal reflection and lifting theorems

Lack, S. & Street, R., 7 Jul 2015, In : Theory and Applications of Categories. 30, p. 985-1000 16 p., 28.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
5 Downloads (Pure)

The Catalan simplicial set

Buckley, M., Garner, R., Lack, S. & Street, R., 11 Mar 2015, In : Mathematical Proceedings of the Cambridge Philosophical Society. 158, 2, p. 211-222 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2014

A skew-duoidal Eckmann-Hilton argument and quantum categories

Lack, S. & Street, R., 4 Nov 2014, In : Applied Categorical Structures. 22, 5-6, p. 789-803 15 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Morita contexts as lax functors

Lack, S., 1 Apr 2014, In : Applied Categorical Structures. 22, 2, p. 311-330 20 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On monads and warpings

Lack, S. & Street, R., 2014, In : Cahiers de topologie et geometrie differentielle categoriques. LV, 4, p. 244-266 23 p.

Research output: Contribution to journalArticle

Triangulations, orientals, and skew monoidal categories

Lack, S. & Street, R., 20 Jun 2014, In : Advances in Mathematics. 258, p. 351-396 46 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2012

Enhanced 2-categories and limits for lax morphisms

Lack, S. & Shulman, M., 15 Jan 2012, In : Advances in Mathematics. 229, 1, p. 294-356 63 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Enriched weakness

Lack, S. & Rosický, J., Aug 2012, In : Journal of Pure and Applied Algebra. 216, 8-9, p. 1807-1822 16 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Grothendieck quasitoposes

Garner, R. & Lack, S., 1 Apr 2012, In : Journal of Algebra. 355, 1, p. 111-127 17 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Böhm, G., Lack, S. & Street, R., Feb 2012, In : Journal of Pure and Applied Algebra. 216, 2, p. 385-403 19 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Lex colimits

Garner, R. & Lack, S., Jun 2012, In : Journal of Pure and Applied Algebra. 216, 6, p. 1372-1396 25 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Non-canonical isomorphisms

Lack, S., Mar 2012, In : Journal of Pure and Applied Algebra. 216, 3, p. 593-597 5 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

On the axioms for adhesive and quasiadhesive categories

Garner, R. & Lack, S., 7 May 2012, In : Theory and Applications of Categories. 27, p. 27-46 20 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
1 Downloads (Pure)

Skew monoidales, skew warpings and quantum categories

Lack, S. & Street, R., 2012, In : Theory and Applications of Categories. 26, 15, p. 385-402 18 p.

Research output: Contribution to journalArticle

Open Access
File
4 Downloads (Pure)
2011

An embedding theorem for adhesive categories

Lack, S., 2011, In : Theory and Applications of Categories. 25, p. 180-188 9 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A Quillen model structure for Gray-categories

Lack, S., Oct 2011, In : Journal of K-Theory. 8, 2, p. 183-221 39 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Hopf monads on monoidal categories

Bruguières, A., Lack, S. & Virelizier, A., 1 Jun 2011, In : Advances in Mathematics. 227, 2, p. 745-800 56 p.

Research output: Contribution to journalArticle

51 Citations (Scopus)

Notions of Lawvere theory

Lack, S. & Rosický, J., Feb 2011, In : Applied Categorical Structures. 19, 1, p. 363-391 29 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

On the 2-categories of weak distributive laws

Böhm, G., Lack, S. & Street, R., Dec 2011, In : Communications in Algebra. 39, 12, p. 4567-4583 17 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Weak bimonads and weak Hopf monads

Böhm, G., Lack, S. & Street, R., 15 Feb 2011, In : Journal of Algebra. 328, 1, p. 1-30 30 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2010

Bicategories of spans as cartesian bicategories

Lack, S., Walters, R. F. C. & Wood, R. J., 2010, In : Theory and Applications of Categories. 24, p. 1-24 24 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Hopf monoidal comonads

Chikhladze, D., Lack, S. & Street, R., 2010, In : Theory and Applications of Categories. 24, p. 554-563 10 p.

Research output: Contribution to journalArticle

Open Access
File
14 Citations (Scopus)
1 Downloads (Pure)

Icons

Lack, S., Jun 2010, In : Applied Categorical Structures. 18, 3, p. 289-307 19 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)

Note on the construction of free monoids

Lack, S., Feb 2010, In : Applied Categorical Structures. 18, 1, p. 17-29 13 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2009

Gabriel-Ulmer duality and Lawvere theories enriched over a general base

Lack, S. & Power, J., Jul 2009, In : Journal of Functional Programming. 19, 3-4, p. 265-286 22 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2008

2-nerves for bicategories

Lack, S. & Paoli, S., Jan 2008, In : K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences. 38, 2, p. 153-175 23 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)
2007

Bicat is not triequivalent to Gray

Lack, S., 8 Jan 2007, In : Theory and Applications of Categories. 18, p. 1-3 3 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Homotopy-theoretic aspects of 2-monads

Lack, S., 2007, In : Journal of Homotopy and Related Structures. 2, 2, p. 229-260 32 p.

Research output: Contribution to journalArticle

Limits of small functors

Day, B. J. & Lack, S., Sep 2007, In : Journal of Pure and Applied Algebra. 210, 3, p. 651-663 13 p.

Research output: Contribution to journalArticle

25 Citations (Scopus)

Restriction categories III: Colimits, partial limits and extensivity

Cockett, R. & Lack, S., Aug 2007, In : Mathematical Structures in Computer Science. 17, 4, p. 775-817 43 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)
2005

Adhesive and quasiadhesive categories

Lack, S. & Sobociński, P., Jul 2005, In : RAIRO - Theoretical Informatics and Applications. 39, 3, p. 511-545 35 p.

Research output: Contribution to journalArticle

125 Citations (Scopus)

An operadic approach to internal structures

Lack, S. & Paoli, S., Jun 2005, In : Applied Categorical Structures. 13, 3, p. 205-222 18 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Limits for lax morphisms

Lack, S., Jun 2005, In : Applied Categorical Structures. 13, 3, p. 189-203 15 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)
2004
117 Citations (Scopus)
22 Citations (Scopus)

Coalgebras, braidings, and distributive laws

Kasangian, S., Lack, S. & Vitale, E. M., 2004, In : Theory and Applications of Categories. 13, 8, p. 129-146 18 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Composing PROPs

Lack, S., 2004, In : Theory and Applications of Categories. 13, 9, p. 147-163 17 p.

Research output: Contribution to journalArticle

71 Citations (Scopus)