Janota, Mikoláš; Morgado, António; Vojtěchovský, Petr Computing generating sets of minimal size in finite algebras. (English) Zbl 1520.20128 J. Symb. Comput. 119, 50-63 (2023). Reviewer: Yuval Filmus (Haifa) MSC: 20N05 68Q25 20-08 68T20 PDFBibTeX XMLCite \textit{M. Janota} et al., J. Symb. Comput. 119, 50--63 (2023; Zbl 1520.20128) Full Text: DOI
Semanišinová, Žaneta; Stanovský, David Three concepts of nilpotence in loops. (English) Zbl 1516.20143 Result. Math. 78, No. 4, Paper No. 119, 15 p. (2023). Reviewer: Wiesław A. Dudek (Wrocław) MSC: 20N05 20F18 PDFBibTeX XMLCite \textit{Ž. Semanišinová} and \textit{D. Stanovský}, Result. Math. 78, No. 4, Paper No. 119, 15 p. (2023; Zbl 1516.20143) Full Text: DOI arXiv
Drápal, Aleš; Vojtěchovský, Petr Abelian congruences and solvability in Moufang loops. (English) Zbl 1512.20224 J. Algebra 624, 17-40 (2023). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 PDFBibTeX XMLCite \textit{A. Drápal} and \textit{P. Vojtěchovský}, J. Algebra 624, 17--40 (2023; Zbl 1512.20224) Full Text: DOI arXiv
Souza de Barros, Dylene Agda; Souza dos Anjos, Giliard Half-automorphism group of a class of Bol loops. (English) Zbl 1511.20233 Commun. Algebra 51, No. 3, 1229-1241 (2023). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 20B25 PDFBibTeX XMLCite \textit{D. A. Souza de Barros} and \textit{G. Souza dos Anjos}, Commun. Algebra 51, No. 3, 1229--1241 (2023; Zbl 1511.20233) Full Text: DOI arXiv
George, O. O.; Olaleru, J. O.; Adéniran, J. O.; Jaiyéolá, T. G. On a class of power associative LCC-loops. (English) Zbl 07790516 Extr. Math. 37, No. 2, 185-194 (2022). MSC: 20N05 20N02 PDFBibTeX XMLCite \textit{O. O. George} et al., Extr. Math. 37, No. 2, 185--194 (2022; Zbl 07790516) Full Text: DOI
George, Olufemi Olakunle; Jaíyéọlá, Tèmít\d{ò}p\d{é} Gb\d{ó}láhàn Nuclear identification of some new loop identities of length five. (English) Zbl 07772166 Bul. Acad. Științe Repub. Mold., Mat. 2022, No. 2(99), 39-58 (2022). Reviewer: Agata Pilitowska (Warszawa) MSC: 20N02 20N05 PDFBibTeX XMLCite \textit{O. O. George} and \textit{T. G. Jaíyéọlá}, Bul. Acad. Științe Repub. Mold., Mat. 2022, No. 2(99), 39--58 (2022; Zbl 07772166) Full Text: DOI
dos Anjos, Giliard Souza Half-automorphism group of Chein loops. (English) Zbl 07672117 Acta Sci. Math. 88, No. 3-4, 553-562 (2022). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 PDFBibTeX XMLCite \textit{G. S. dos Anjos}, Acta Sci. Math. 88, No. 3--4, 553--562 (2022; Zbl 07672117) Full Text: DOI arXiv
Smith, Jonathan D. H.; Vojtěchovský, Petr Okubo quasigroups. (English) Zbl 1489.20026 Doc. Math. 27, 535-580 (2022). Reviewer: Anna Romanowska (Warszawa) MSC: 20N05 17A75 PDFBibTeX XMLCite \textit{J. D. H. Smith} and \textit{P. Vojtěchovský}, Doc. Math. 27, 535--580 (2022; Zbl 1489.20026) Full Text: DOI
Merlini Giuliani, Maria de Lourdes; Oliveira Cortes, Wagner de On loopoids and magma with inverse. (English) Zbl 1485.20147 Commun. Algebra 49, No. 11, 4905-4914 (2021). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N02 20N05 20L05 20M18 PDFBibTeX XMLCite \textit{M. de L. Merlini Giuliani} and \textit{W. de Oliveira Cortes}, Commun. Algebra 49, No. 11, 4905--4914 (2021; Zbl 1485.20147) Full Text: DOI
Nagy, Ben; Roberts, David Michael (Re)constructing code loops. (English) Zbl 1473.20071 Am. Math. Mon. 128, No. 2, 151-161 (2021). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 94A60 PDFBibTeX XMLCite \textit{B. Nagy} and \textit{D. M. Roberts}, Am. Math. Mon. 128, No. 2, 151--161 (2021; Zbl 1473.20071) Full Text: DOI arXiv
Greer, Mark; Raney, Lee Automorphic loops and metabelian groups. (English) Zbl 1474.20151 Commentat. Math. Univ. Carol. 61, No. 4, 523-534 (2020). MSC: 20N05 PDFBibTeX XMLCite \textit{M. Greer} and \textit{L. Raney}, Commentat. Math. Univ. Carol. 61, No. 4, 523--534 (2020; Zbl 1474.20151) Full Text: DOI arXiv
Merlini Giuliani, Maria De Lourdes; Dos Anjos, Giliard Souza Lie automorphic loops under half-automorphisms. (English) Zbl 1456.20075 J. Algebra Appl. 19, No. 11, Article ID 2050221, 19 p. (2020). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 20N05 PDFBibTeX XMLCite \textit{M. De L. Merlini Giuliani} and \textit{G. S. Dos Anjos}, J. Algebra Appl. 19, No. 11, Article ID 2050221, 19 p. (2020; Zbl 1456.20075) Full Text: DOI
Drápal, Aleš; Vojtěchovský, Petr Division sudokus: invariants, enumeration, and multiple partitions. (English) Zbl 1445.05020 Glasg. Math. J. 62, No. 3, 600-630 (2020). MSC: 05B15 05A15 20N05 PDFBibTeX XMLCite \textit{A. Drápal} and \textit{P. Vojtěchovský}, Glasg. Math. J. 62, No. 3, 600--630 (2020; Zbl 1445.05020) Full Text: DOI arXiv
Stuhl, Izabella; Vojtěchovský, Petr Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order. (English) Zbl 1432.57018 Vojtěchovský, Petr (ed.) et al., Nonassociative mathematics and its applications. Fourth mile high conference on nonassociative mathematics, Denver, CO, USA, July 29 – August 5, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 721, 261-276 (2019). Reviewer: Marco Farinati (Buenos Aires) MSC: 57K10 20N05 PDFBibTeX XMLCite \textit{I. Stuhl} and \textit{P. Vojtěchovský}, Contemp. Math. 721, 261--276 (2019; Zbl 1432.57018) Full Text: DOI arXiv
Ahmadidelir, Karim On the non-commuting graph in finite Moufang loops. (English) Zbl 1455.20035 J. Algebra Appl. 17, No. 4, Article ID 1850070, 22 p. (2018). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 05C25 PDFBibTeX XMLCite \textit{K. Ahmadidelir}, J. Algebra Appl. 17, No. 4, Article ID 1850070, 22 p. (2018; Zbl 1455.20035) Full Text: DOI
Jaiyéọlá, T. G.; Adeniregun, A. A.; Asiru, M. A. Finite FRUTE loops. (English) Zbl 1359.20037 J. Algebra Appl. 16, No. 2, Article ID 1750040, 10 p. (2017). MSC: 20N05 PDFBibTeX XMLCite \textit{T. G. Jaiyéọlá} et al., J. Algebra Appl. 16, No. 2, Article ID 1750040, 10 p. (2017; Zbl 1359.20037) Full Text: DOI
Kinyon, Michael K.; Nagy, Gábor P.; Vojtěchovský, Petr Bol loops and Bruck loops of order \(pq\). (English) Zbl 1383.20040 J. Algebra 473, 481-512 (2017). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 15B33 20D20 PDFBibTeX XMLCite \textit{M. K. Kinyon} et al., J. Algebra 473, 481--512 (2017; Zbl 1383.20040) Full Text: DOI arXiv
Jedlička, Přemysl; Stanovský, David; Vojtěchovský, Petr Distributive and trimedial quasigroups of order 243. (English) Zbl 1422.20040 Discrete Math. 340, No. 3, 404-415 (2017). MSC: 20N05 05A15 05B15 PDFBibTeX XMLCite \textit{P. Jedlička} et al., Discrete Math. 340, No. 3, 404--415 (2017; Zbl 1422.20040) Full Text: DOI arXiv
Isere, A. O.; Adéníran, J. O.; Agboola, A. A. A. Representations of finite Osborn loops. (English) Zbl 1474.20152 J. Niger. Math. Soc. 35, No. 2, 381-389 (2016). MSC: 20N05 08A05 PDFBibTeX XMLCite \textit{A. O. Isere} et al., J. Niger. Math. Soc. 35, No. 2, 381--389 (2016; Zbl 1474.20152) Full Text: Link
Ahmadidelir, Karim On the commutativity degree in finite Moufang loops. (English) Zbl 1454.20117 Int. J. Group Theory 5, No. 3, 37-47 (2016). MSC: 20N05 PDFBibTeX XMLCite \textit{K. Ahmadidelir}, Int. J. Group Theory 5, No. 3, 37--47 (2016; Zbl 1454.20117) Full Text: DOI
Kinyon, Michael K.; Kunen, Kenneth; Phillips, J. D.; Vojtěchovský, Petr The structure of automorphic loops. (English) Zbl 1359.20038 Trans. Am. Math. Soc. 368, No. 12, 8901-8927 (2016). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 PDFBibTeX XMLCite \textit{M. K. Kinyon} et al., Trans. Am. Math. Soc. 368, No. 12, 8901--8927 (2016; Zbl 1359.20038) Full Text: DOI arXiv
Hulpke, Alexander; Stanovský, David; Vojtěchovský, Petr Connected quandles and transitive groups. (English) Zbl 1326.57025 J. Pure Appl. Algebra 220, No. 2, 735-758 (2016). MSC: 57M27 20N02 20B10 PDFBibTeX XMLCite \textit{A. Hulpke} et al., J. Pure Appl. Algebra 220, No. 2, 735--758 (2016; Zbl 1326.57025) Full Text: DOI arXiv
Kinyon, Michael; Wanless, Ian M. Loops with exponent three in all isotopes. (English) Zbl 1337.20075 Int. J. Algebra Comput. 25, No. 7, 1159-1177 (2015). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 05B15 PDFBibTeX XMLCite \textit{M. Kinyon} and \textit{I. M. Wanless}, Int. J. Algebra Comput. 25, No. 7, 1159--1177 (2015; Zbl 1337.20075) Full Text: DOI arXiv
Pasotti, Stefano; Zizioli, Elena Loops, regular permutation sets and colourings of directed graphs. (English) Zbl 1325.20056 J. Geom. 106, No. 1, 35-45 (2015). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 05C20 05C25 51A25 PDFBibTeX XMLCite \textit{S. Pasotti} and \textit{E. Zizioli}, J. Geom. 106, No. 1, 35--45 (2015; Zbl 1325.20056) Full Text: DOI
Stanovský, David; Vojtěchovský, Petr Abelian extensions and solvable loops. (English) Zbl 1334.20068 Result. Math. 66, No. 3-4, 367-384 (2014). Reviewer: Jaiyeola Temitope Gbolahan (Ile-Ife) MSC: 20N05 08B10 PDFBibTeX XMLCite \textit{D. Stanovský} and \textit{P. Vojtěchovský}, Result. Math. 66, No. 3--4, 367--384 (2014; Zbl 1334.20068) Full Text: DOI arXiv
Greer, Mark; Raney, Lee Moufang semidirect products of loops with groups and inverse property extensions. (English) Zbl 1322.20061 Commentat. Math. Univ. Carol. 55, No. 3, 411-420 (2014). Reviewer: Petr Vojtěchovský (Denver) MSC: 20N05 PDFBibTeX XMLCite \textit{M. Greer} and \textit{L. Raney}, Commentat. Math. Univ. Carol. 55, No. 3, 411--420 (2014; Zbl 1322.20061) Full Text: arXiv Link
Pasotti, Stefano; Zizioli, Elena Slid product of loops: a generalization. (English) Zbl 1314.20057 Result. Math. 65, No. 1-2, 193-212 (2014). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 PDFBibTeX XMLCite \textit{S. Pasotti} and \textit{E. Zizioli}, Result. Math. 65, No. 1--2, 193--212 (2014; Zbl 1314.20057) Full Text: DOI
Stanovský, David; Vojtěchovský, Petr Commutator theory for loops. (English) Zbl 1319.20056 J. Algebra 399, 290-322 (2014). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 08A30 08B10 PDFBibTeX XMLCite \textit{D. Stanovský} and \textit{P. Vojtěchovský}, J. Algebra 399, 290--322 (2014; Zbl 1319.20056) Full Text: DOI arXiv
Drápal, Aleš; Griggs, Terry S.; Kozlik, Andrew R. Triple systems and binary operations. (English) Zbl 1288.05028 Discrete Math. 325, 1-11 (2014). MSC: 05B07 20N05 PDFBibTeX XMLCite \textit{A. Drápal} et al., Discrete Math. 325, 1--11 (2014; Zbl 1288.05028) Full Text: DOI
Kinyon, Michael; Veroff, Robert; Vojtěchovský, Petr Loops with abelian inner mapping groups: an application of automated deduction. (English) Zbl 1383.68077 Bonacina, Maria Paola (ed.) et al., Automated reasoning and mathematics. Essays in memory of William W. McCune. Berlin: Springer (ISBN 978-3-642-36674-1/pbk). Lecture Notes in Computer Science 7788. Lecture Notes in Artificial Intelligence, 151-164 (2013). MSC: 68T15 03B35 20N05 PDFBibTeX XMLCite \textit{M. Kinyon} et al., Lect. Notes Comput. Sci. 7788, 151--164 (2013; Zbl 1383.68077) Full Text: DOI arXiv
Chein, Orin; Goodaire, Edgar G.; Kinyon, Michael When is a Bol loop Moufang? (English) Zbl 1298.20076 Algebra Colloq. 19, Spec. Iss. 1, 927-946 (2012). MSC: 20N05 PDFBibTeX XMLCite \textit{O. Chein} et al., Algebra Colloq. 19, 927--946 (2012; Zbl 1298.20076) Full Text: DOI arXiv
Kirshtein, Jenya Automorphism groups of Cayley-Dickson loops. (English) Zbl 1258.20057 J. Gen. Lie Theory Appl. 6, Article ID G110901, 10 p. (2012). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 17A75 20B25 PDFBibTeX XMLCite \textit{J. Kirshtein}, J. Gen. Lie Theory Appl. 6, Article ID G110901, 10 p. (2012; Zbl 1258.20057) Full Text: DOI arXiv
Jedlička, Přemysl; Kinyon, Michael; Vojtěchovský, Petr Nilpotency in automorphic loops of prime power order. (English) Zbl 1250.20061 J. Algebra 350, No. 1, 64-76 (2012). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Jedlička} et al., J. Algebra 350, No. 1, 64--76 (2012; Zbl 1250.20061) Full Text: DOI arXiv
Shah, Muhammad; Gretton, Charles; Sorge, Volker Enumerating AG-groups with a study of Smaradache AG-groups. (English) Zbl 1250.20058 Int. Math. Forum 6, No. 61-64, 3079-3086 (2011). MSC: 20N02 05A15 05B15 68W30 PDFBibTeX XMLCite \textit{M. Shah} et al., Int. Math. Forum 6, No. 61--64, 3079--3086 (2011; Zbl 1250.20058) Full Text: Link
Johnson, Kenneth W.; Kinyon, Michael K.; Nagy, Gábor P.; Vojtěchovský, Petr Searching for small simple automorphic loops. (English) Zbl 1225.20052 LMS J. Comput. Math. 14, 200-213 (2011). MSC: 20N05 68W30 20B15 20B40 PDFBibTeX XMLCite \textit{K. W. Johnson} et al., LMS J. Comput. Math. 14, 200--213 (2011; Zbl 1225.20052) Full Text: DOI arXiv
Distler, Andreas; Shah, Muhammad; Sorge, Volker Enumeration of AG-groupoids. (English) Zbl 1250.20055 Davenport, James H. (ed.) et al., Intelligent computer mathematics. 18th symposium, Calculemus 2011, and 10th international conference, MKM 2011, Bertinoro, Italy, July 18–23, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22672-4/pbk). Lecture Notes in Computer Science 6824. Lecture Notes in Artificial Intelligence, 1-14 (2011). MSC: 20N02 05A15 05B15 68W30 PDFBibTeX XMLCite \textit{A. Distler} et al., Lect. Notes Comput. Sci. 6824, 1--14 (2011; Zbl 1250.20055) Full Text: DOI
Gribov, A. B.; Zolotykh, P. A.; Mikhalëv, A. V. A construction of algebraic cryptosystem over the quasigroup ring. (Russian. English summary) Zbl 1469.94100 Mat. Vopr. Kriptografii 1, No. 4, 23-32 (2010). MSC: 94A60 17D99 20N05 PDFBibTeX XMLCite \textit{A. B. Gribov} et al., Mat. Vopr. Kriptografii 1, No. 4, 23--32 (2010; Zbl 1469.94100) Full Text: DOI MNR
Niemenmaa, Markku; Rytty, Miikka On finite loops with nilpotent inner mapping groups. (English) Zbl 1209.20070 Arch. Math. 95, No. 4, 319-324 (2010). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 20D15 20K01 20F29 PDFBibTeX XMLCite \textit{M. Niemenmaa} and \textit{M. Rytty}, Arch. Math. 95, No. 4, 319--324 (2010; Zbl 1209.20070) Full Text: DOI
Daly, Daniel; Vojtěchovský, Petr Enumeration of nilpotent loops via cohomology. (English) Zbl 1209.20068 J. Algebra 322, No. 11, 4080-4098 (2009). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 20J06 PDFBibTeX XMLCite \textit{D. Daly} and \textit{P. Vojtěchovský}, J. Algebra 322, No. 11, 4080--4098 (2009; Zbl 1209.20068) Full Text: DOI arXiv
Kinyon, Michael K.; Vojtěchovský, Petr Primary decompositions in varieties of commutative diassociative loops. (English) Zbl 1203.20068 Commun. Algebra 37, No. 4, 1428-1444 (2009). Reviewer: Hubert Kiechle (Hamburg) MSC: 20N05 PDFBibTeX XMLCite \textit{M. K. Kinyon} and \textit{P. Vojtěchovský}, Commun. Algebra 37, No. 4, 1428--1444 (2009; Zbl 1203.20068) Full Text: DOI arXiv
Nagy, Gábor P. Direct construction of code loops. (English) Zbl 1171.20042 Discrete Math. 308, No. 23, 5349-5357 (2008). MSC: 20N05 94B25 PDFBibTeX XMLCite \textit{G. P. Nagy}, Discrete Math. 308, No. 23, 5349--5357 (2008; Zbl 1171.20042) Full Text: DOI arXiv
Drápal, Aleš; Vojtěchovský, Petr Explicit constructions of loops with commuting inner mappings. (English) Zbl 1168.20031 Eur. J. Comb. 29, No. 7, 1662-1681 (2008). Reviewer: A. M. Shelekhov (Moskva) MSC: 20N05 PDFBibTeX XMLCite \textit{A. Drápal} and \textit{P. Vojtěchovský}, Eur. J. Comb. 29, No. 7, 1662--1681 (2008; Zbl 1168.20031) Full Text: DOI arXiv
Kinyon, Michael K.; Phillips, J. D.; Vojtěchovský, Petr When is the commutant of a Bol loop a subloop? (English) Zbl 1134.20069 Trans. Am. Math. Soc. 360, No. 5, 2393-2408 (2008). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 PDFBibTeX XMLCite \textit{M. K. Kinyon} et al., Trans. Am. Math. Soc. 360, No. 5, 2393--2408 (2008; Zbl 1134.20069) Full Text: DOI arXiv
Nagy, Gábor P.; Vojtěchovský, Petr The Moufang loops of order 64 and 81. (English) Zbl 1131.20053 J. Symb. Comput. 42, No. 9, 871-883 (2007). MSC: 20N05 PDFBibTeX XMLCite \textit{G. P. Nagy} and \textit{P. Vojtěchovský}, J. Symb. Comput. 42, No. 9, 871--883 (2007; Zbl 1131.20053) Full Text: DOI arXiv
Nagy, Gábor P.; Vojtěchovský, Petr Computing with small quasigroups and loops. (English) Zbl 1132.20044 Quasigroups Relat. Syst. 15, No. 1, 77-94 (2007). MSC: 20N05 20-04 68W30 PDFBibTeX XMLCite \textit{G. P. Nagy} and \textit{P. Vojtěchovský}, Quasigroups Relat. Syst. 15, No. 1, 77--94 (2007; Zbl 1132.20044) Full Text: arXiv
Vojtěchovský, Petr Toward the classification of Moufang loops of order 64. (English) Zbl 1086.20042 Eur. J. Comb. 27, No. 3, 444-460 (2006). MSC: 20N05 05B15 68W30 PDFBibTeX XMLCite \textit{P. Vojtěchovský}, Eur. J. Comb. 27, No. 3, 444--460 (2006; Zbl 1086.20042) Full Text: DOI arXiv