Gabriella Böhm

Wigner Research Centre for Physics, Budapest
    H-1525 Budapest 114, P.O.B.49, Hungary
    bohm.gabriella(at)wigner.mta.hu

• The Gray monoidal product of double categories. arXiv:1901.10707
• The formal theory of multimonoidal monads. Theor. and Appl. of Categories 34 no. 12 (2019), 295-348. arXiv:1810.11300
• Crossed modules of monoids III. Simplicial monoids of Moore length 1. arXiv:1803.04622
• Crossed modules of monoids II. Relative crossed modules. arXiv:1803.04124
• Crossed modules of monoids I. Relative categories. Appl. Categ. Structures, online first. DOI 10.1007/s10485-019-09570-0 arXiv:1803.03418
• Hopf polyads, Hopf categories and Hopf group monoids viewed as Hopf monads. Theor. and Appl. of Categories 32 no. 37 (2017), 1229-1257. arXiv:1611.05157
• Weak multiplier bimonoids. (Joint with Gómez-Torrecillas, José and Lack, Stephen.) Appl. Categ. Structures 26 no. 1 (2018), 47-111 arXiv:1603.05702
• A simplicial approach to multiplier bimonoids. (Joint with Lack, Stephen.) Bull. Belgian Math. Soc. Simon Stevin 24 (2017), 107-122. arXiv:1512.01259
• Multiplier Hopf monoids. (Joint with Lack, Stephen.) Algebr. Represent. Theory 20 no. 1 (2017), 1-46. arXiv:1511.03806
• A category of multiplier bimonoids. (Joint with Lack, Stephen.) Appl. Categ. Structures, 25(2) (2017), 279-301. arXiv:1509.07171
• Hopf comonads on naturally Frobenius map-monoidales. (Joint with Lack, Stephen.) J. Pure Appl. Algebra 220 no. 6 (2016), 2177-2213. arXiv:1411.5788
• Multiplier bialgebras in braided monoidal categories. (Joint with Lack, Stephen.) J. Algebra 423 (2015), 853-889. arXiv:1405.4668
• Yetter-Drinfeld modules over weak multiplier bialgebras. Israel J. Math. 209 no. 1 (2015), 85-123. arXiv:1311.3027
• Comodules over weak multiplier bialgebras. Int. J. Math. 25, 1450037 (2014), arXiv:1311.2730
• Weak bimonoids in duoidal categories. (Joint with Chen, Yuanyuan.) J. Pure Appl. Algebra 218 no. 12 (2014), 2240-2273. arXiv:1306.4829
• Weak multiplier bialgebras. (Joint with Gómez-Torrecillas, José; López-Centella, Esperanza.) Trans. Amer. Math. Soc. 367 (2015), no. 12, 8681-8721. arXiv:1306.1466
• On the category of weak bialgebras. (Joint with Gómez-Torrecillas, José; López-Centella, Esperanza.) J. Algebra 399 (2014), 801-844. arXiv:1306.1459
• Firm Frobenius monads and firm Frobenius algebras. (Joint with Gómez-Torrecillas, José.) Bull. Math. Soc. Sci. Math. Roumanie 56(104) (2013), no. 3, 281-298. arXiv:1304.6541
• On Hopf monoids in duoidal categories. (Joint with Chen, Yuanyuan; Zhang, Liangyun.) J. Algebra 394 (2013), 139-172. arXiv:1212.1018
• On the double crossed product of weak Hopf algebras. (Joint with Gómez-Torrecillas, José.) AMS Contemp. Math. 585 (2013), 153-174. arXiv:1205.2163
• On the iteration of weak wreath products. Theor. and Appl. of Categories 26 (2012), no. 2, 30-59. arXiv:1110.0652
• Bilinear factorization of algebras. (Joint with Gómez-Torrecillas, José.) Bull. Belgian Math. Soc. 20 (2013), 221-244. arXiv:1108.5957
• Idempotent splittings, colimit completion, and weak aspects of the theory of monads. (Joint with Lack, Stephen; Street, Ross.) J. Pure Appl. Algebra 216 (2012), no. 2, 385-403. arXiv:1102.4931
• On the 2-categories of weak distributive laws. (Joint with Lack, Stephen; Street, Ross.) Comm. Algebra 39 (2011), no. 12 (special volume dedicated to Mia Cohen), 4567-4583. arXiv:1009.3454
• Weak bialgebras and monoidal categories. (Joint with Caenepeel, Stefaan; Janssen, Kris.) Comm. Algebra 39 (2011), no. 12 (special volume dedicated to Mia Cohen), 4584-4607. arXiv:1103.2261
• Factorization systems induced by weak distributive laws. Appl. Categ. Structures, 20 (2012), no 3, 275-302. arXiv:1009.0732
• Weak bimonads and weak Hopf monads. (Joint with Lack, Stephen; Street, Ross.) J. Algebra 328 (2011), 1-30. arXiv:1002.4493
• A categorical approach to cyclic duality. (Joint with Ştefan, Dragoş.) J. Noncommutative Geometry 6 (2012), no. 3, 481–538. arXiv:0910.4622
• The weak theory of monads. Adv. Math. 225 (2010), 1-32. arXiv:0902.4192
• Pre-torsors and Galois comodules over mixed distributive laws. (Joint with Menini, Claudia.) Appl. Categ. Structures 19 (2011), no. 3, 597-632. arXiv:0806.1212
• Hopf Algebroids. Handbook of Algebra Vol 6, edited by M. Hazewinkel, Elsevier, 2009, pp. 173-236. arXiv:0805.3806
• Monads and comonads on module categories. (Joint with Brzeziński, Tomasz; Wisbauer, Robert.) J. Algebra 322 (2009) 1719-1747. arXiv:0804.1460
• Examples of para-cocyclic objects induced by BD-laws. (Joint with Ştefan, Dragoş.) Algebr. Represent. Theory 12 (2009), no. 2-5, 153-180. arXiv:0801.0033
• Morita theory for comodules over corings. (Joint with Vercruysse, Joost.) Comm. Algebra 37 (2009), no. 9, 3207-3247. arXiv:0710.1017
• (Co)cyclic (co)homology of bialgebroids: an approach via (co)monads. (Joint with Ştefan, Dragoş.) Comm. Math. Phys. 282 (2008), no.1, 239-286. arXiv:0705.3190
• Galois extensions over commutative and non-commutative base. New techniques in Hopf algebras and graded ring theory, 9-34, K. Vlaam. Acad. Belgie Wet. Kunsten (KVAB), Brussels, 2007. arXiv:math/0701064
• A Schneider type theorem for Hopf algebroids. (Joint with Ardizzoni, A.; Menini, C.) J. Algebra 318 (2007), no. 1, 225-269. Corrigendum. J. Algebra 321 (2009) no. 6, 1786-1796. arXiv:math/0612633
• Morita theory for coring extensions and cleft bicomodules. (Joint with Vercruysse, Joost.) Adv. Math. 209 (2007), no. 2, 611-648. Corrigendum. Adv. Math. 221 (2009), no 2, 682-686. arXiv:math/0601464
• Pre-torsors and equivalences. (Joint with Brzeziński, Tomasz.) J. Algebra 317 (2007), 544-580. Corrigendum. J. Algebra 319 (2008), 1339-1340. arXiv:math/0607529
• Cleft extensions of Hopf algebroids. (Joint with Brzeziński, Tomasz.) Appl. Categ. Structures 14 (2006), no. 5-6, 431-469. Corrigendum. Appl. Categ. Structures 17 (2009), no. 6, 613-620. arXiv:math/0510253
• Strong connections and the relative Chern-Galois character for corings. (Joint with Brzeziński, Tomasz.) Int. Math. Res. Not. 2005, no. 42, 2579-2625. arXiv:math/0503469
• Galois theory for Hopf algebroids. Ann. Univ. Ferrara Sez. VII (N.S.) 51 (2005), 233-262. math.RA/0409513
• Integral theory for Hopf algebroids. Algebr. Represent. Theory 8 (2005), no. 4, 563-599. Erratum. Algebr. Represent. Theory 13 (2010), no. 6, 755. arXiv:math/0403195
• Internal bialgebroids, entwining structures and corings. Algebraic structures and their representations, 207-226, Contemp. Math., 376, Amer. Math. Soc., Providence, RI, 2005. arXiv:math/0311244
• Hopf algebroid symmetry of abstract Frobenius extensions of depth 2. (Joint with Szlachányi, Kornél.) Comm. Algebra 32 (2004), no. 11, 4433-4464. arXiv:math/0305136
• On perturbative quantum field theory with boundary. (Joint with Bajnok, Z.; Takács, G.) Nuclear Phys. B 682 (2004), no. 3, 585-617. arXiv:hep-th/0309119
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals. (Joint with Szlachányi, Kornél.) J. Algebra 274 (2004), no. 2, 708-750. arXiv:math/0302325
• An alternative notion of Hopf algebroid. Hopf algebras in noncommutative geometry and physics, 31-53, Lecture Notes in Pure and Appl. Math., 239, Dekker, New York, 2005. arXiv:math/0301169
• Boundary reduction formula. (Joint with Bajnok, Zoltán.; Takács, Gábor.) J. Phys. A 35 (2002), no. 44, 9333-9342. arXiv:hep-th/0207079
• Doi-Hopf modules over weak Hopf algebras. Comm. Algebra 28 (2000), no. 10, 4687-4698. arXiv:math/9905027
• Weak Hopf algebras. II. Representation theory, dimensions, and the Markov trace. (Joint with Szlachányi, Kornél.) J. Algebra 233 (2000), 156-212. arXiv:math/9906045
• Weak C*-Hopf algebras and multiplicative isometries. (Joint with Szlachányi, Kornél.) J. Operator Theory 45 (2001), no. 2, 357-376. arXiv:math/9810070
• Weak Hopf algebras. I. Integral theory and C*-structure. (Joint with Nill, F.; Szlachányi, K.) J. Algebra 221 (1999), no. 2, 385-438. arXiv:math/9805116
• Weak C*-Hopf algebras: the coassociative symmetry of non-integral dimensions. (Joint with Szlachányi, Kornél.) Quantum groups and quantum spaces (Warsaw, 1995), 9-19, Banach Center Publ., 40, Polish Acad. Sci., Warsaw, 1997.
• A coassociative C*-quantum group with nonintegral dimensions. (Joint with Szlachányi, K.) Lett. Math. Phys. 38 (1996), no. 4, 437-456. arXiv:q-alg/9509008

monograph

• Hopf Algebras and Their Generalizations from a Category Theoretical Point of View. Springer Lecture Notes in Mathematics 2226, 2018.

member of the editorial board of "Theory and Applications of Categories"

my family