Im, Bokhee; Smith, Jonathan D. H. Combinatorial supersymmetry: supergroups, superquasigroups, and their multiplication groups. (English) Zbl 07798892 J. Korean Math. Soc. 61, No. 1, 109-132 (2024). MSC: 20N05 17A70 20C15 PDFBibTeX XMLCite \textit{B. Im} and \textit{J. D. H. Smith}, J. Korean Math. Soc. 61, No. 1, 109--132 (2024; Zbl 07798892) Full Text: DOI
Isere, Abednego Orobosa; Ezurike, Julia Ugomma Constructions and involutory properties in Latin quandles. (English) Zbl 07794734 Int. J. Group Theory 13, No. 1, 1-15 (2024). MSC: 20N05 PDFBibTeX XMLCite \textit{A. O. Isere} and \textit{J. U. Ezurike}, Int. J. Group Theory 13, No. 1, 1--15 (2024; Zbl 07794734) Full Text: DOI
Gutik, O. V.; Pozdniakova, I. V. On a semigroup generated by the extended bicyclic semigroup and the \(\omega \)-closed family. (English. Ukrainian original) Zbl 07798226 J. Math. Sci., New York 274, No. 5, 602-617 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 21-34 (2021). MSC: 20Mxx 22Axx 20-XX PDFBibTeX XMLCite \textit{O. V. Gutik} and \textit{I. V. Pozdniakova}, J. Math. Sci., New York 274, No. 5, 602--617 (2023; Zbl 07798226); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 1, 21--34 (2021) Full Text: DOI arXiv
Rezaei, Akbar; Kim, Hee Sik; Saeid, Arsham Borumand Independence concepts for groupoids. (English) Zbl 07723644 Ann. Univ. Paedagog. Crac., Stud. Math. 385(22), 87-98 (2023). MSC: 20N02 06F35 PDFBibTeX XMLCite \textit{A. Rezaei} et al., Ann. Univ. Paedagog. Crac., Stud. Math. 385(22), 87--98 (2023; Zbl 07723644) Full Text: DOI
Bahturin, Yuri; Olshanskii, Alexander Nilpotent algebras, implicit function theorem, and polynomial quasigroups. (English) Zbl 07710357 J. Algebra 632, 154-193 (2023). MSC: 17B30 20N05 06F25 17B01 22E60 PDFBibTeX XMLCite \textit{Y. Bahturin} and \textit{A. Olshanskii}, J. Algebra 632, 154--193 (2023; Zbl 07710357) Full Text: DOI arXiv
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
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
Csörgő, Piroska On Doro’s conjecture for finite Moufang loops. (English) Zbl 1516.20142 Int. J. Algebra Comput. 33, No. 1, 1-13 (2023). Reviewer: Teerapong Suksumran (Chiang Mai) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Csörgő}, Int. J. Algebra Comput. 33, No. 1, 1--13 (2023; Zbl 1516.20142) Full Text: DOI
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
Hall, J. I. Generating finite 3-transposition groups. (English) Zbl 1515.20081 J. Algebra 607, Part A, 338-371 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20D06 20D08 20F05 PDFBibTeX XMLCite \textit{J. I. Hall}, J. Algebra 607, 338--371 (2022; Zbl 1515.20081) Full Text: DOI
Csörgő, Piroska Characterization of Moufang loops whose commutant is a normal subloop. (English) Zbl 1510.20055 J. Group Theory 25, No. 4, 781-797 (2022). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Csörgő}, J. Group Theory 25, No. 4, 781--797 (2022; Zbl 1510.20055) Full Text: DOI
Csörgő, Piroska Every Moufang loop of odd order has nontrivial nucleus. (English) Zbl 1491.20151 J. Algebra 603, 89-117 (2022). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 08A05 PDFBibTeX XMLCite \textit{P. Csörgő}, J. Algebra 603, 89--117 (2022; Zbl 1491.20151) Full Text: DOI
LaGrange, John D. Divisor graphs and isotopy invariants of commutative quasigroups. (English) Zbl 1480.05142 J. Comb. Theory, Ser. A 187, Article ID 105577, 16 p. (2022). MSC: 05E16 05C25 20N05 PDFBibTeX XMLCite \textit{J. D. LaGrange}, J. Comb. Theory, Ser. A 187, Article ID 105577, 16 p. (2022; Zbl 1480.05142) Full Text: DOI
Rezaie, Elhameh; Ahmadidelir, Karim; Tehranian, Abolfazl; Rasouli, Hamid Non-commuting graphs and some bounds for commutativity degree of finite Moufang loops. (English) Zbl 1491.20160 Bull. Iran. Math. Soc. 47, No. 6, 1849-1869 (2021). MSC: 20N05 05C25 PDFBibTeX XMLCite \textit{E. Rezaie} et al., Bull. Iran. Math. Soc. 47, No. 6, 1849--1869 (2021; Zbl 1491.20160) 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
Bonatto, Marco; Stanovský, David Commutator theory for racks and quandles. (English) Zbl 1461.57002 J. Math. Soc. Japan 73, No. 1, 41-75 (2021). Reviewer: Timur Nasybullov (Novosibirsk) MSC: 57K12 08A30 20N02 20N05 PDFBibTeX XMLCite \textit{M. Bonatto} and \textit{D. Stanovský}, J. Math. Soc. Japan 73, No. 1, 41--75 (2021; Zbl 1461.57002) Full Text: DOI arXiv Euclid
Abdulkareem, A. O.; Adeniran, J. Olusola Middle generalized bol loops. (English) Zbl 1477.20131 J. Niger. Math. Soc. 39, No. 3, 303-313 (2020). MSC: 20N05 PDFBibTeX XMLCite \textit{A. O. Abdulkareem} and \textit{J. O. Adeniran}, J. Niger. Math. Soc. 39, No. 3, 303--313 (2020; Zbl 1477.20131) Full Text: Link
Bashir, Hamideh Hasanzadeh; Ahmadidelir, Karim Some structural graph properties of the non-commuting graph of a class of finite Moufang loops. (English) Zbl 1468.20111 Electron. J. Graph Theory Appl. 8, No. 2, 319-337 (2020). MSC: 20N05 20D60 05C17 PDFBibTeX XMLCite \textit{H. H. Bashir} and \textit{K. Ahmadidelir}, Electron. J. Graph Theory Appl. 8, No. 2, 319--337 (2020; Zbl 1468.20111) Full Text: DOI
Celakoska-Jordanova, Vesna Free power-slim groupoids. (English) Zbl 1477.20130 Asian-Eur. J. Math. 13, No. 8, Article ID 2050166, 14 p. (2020). MSC: 20N02 08B20 PDFBibTeX XMLCite \textit{V. Celakoska-Jordanova}, Asian-Eur. J. Math. 13, No. 8, Article ID 2050166, 14 p. (2020; Zbl 1477.20130) Full Text: DOI
Hasanzadeh Bashir, H.; Iranmanesh, A. The intersection graph of a finite Moufang loop. (English) Zbl 1472.20144 J. Math. Ext. 14, No. 2, 81-90 (2020). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 05C25 PDFBibTeX XMLCite \textit{H. Hasanzadeh Bashir} and \textit{A. Iranmanesh}, J. Math. Ext. 14, No. 2, 81--90 (2020; Zbl 1472.20144) Full Text: Link
Falcone, Giovanni; Figula, Ágota; Hannusch, Carolin Steiner loops of affine type. (English) Zbl 1451.05026 Result. Math. 75, No. 4, Paper No. 148, 24 p. (2020). MSC: 05B07 20N05 51E10 PDFBibTeX XMLCite \textit{G. Falcone} et al., Result. Math. 75, No. 4, Paper No. 148, 24 p. (2020; Zbl 1451.05026) 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
Ursu, V. I. A correspondence between commutative rings and Jordan loops. (English. Russian original) Zbl 1454.20122 Algebra Logic 58, No. 6, 494-513 (2020); translation from Algebra Logika 58, No. 6, 741-768 (2019). MSC: 20N05 13L05 PDFBibTeX XMLCite \textit{V. I. Ursu}, Algebra Logic 58, No. 6, 494--513 (2020; Zbl 1454.20122); translation from Algebra Logika 58, No. 6, 741--768 (2019) Full Text: DOI
Cheremushkin, Aleksandr V. Partially invertible strongly dependent \(n\)-ary operations. (English. Russian original) Zbl 1445.20053 Sb. Math. 211, No. 2, 291-308 (2020); translation from Mat. Sb. 211, No. 2, 141-158 (2020). Reviewer: Wiesław A. Dudek (Wrocław) MSC: 20N15 20N02 PDFBibTeX XMLCite \textit{A. V. Cheremushkin}, Sb. Math. 211, No. 2, 291--308 (2020; Zbl 1445.20053); translation from Mat. Sb. 211, No. 2, 141--158 (2020) Full Text: DOI
Bonatto, Marco Principal and doubly homogeneous quandles. (English) Zbl 1481.20218 Monatsh. Math. 191, No. 4, 691-717 (2020). Reviewer: Agata Pilitowska (Warszawa) MSC: 20N02 20N05 57K12 PDFBibTeX XMLCite \textit{M. Bonatto}, Monatsh. Math. 191, No. 4, 691--717 (2020; Zbl 1481.20218) Full Text: DOI arXiv
Simeu, Cyrille Sandry; Van der Linden, Tim On the “three subobjects lemma” and its higher-order generalisations. (English) Zbl 1471.18011 J. Algebra 546, 315-340 (2020). Reviewer: Timothy Porter (Llandegfan) MSC: 18E13 17B30 18E10 18G50 20F18 20J06 PDFBibTeX XMLCite \textit{C. S. Simeu} and \textit{T. Van der Linden}, J. Algebra 546, 315--340 (2020; Zbl 1471.18011) 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
Hall, J. I. Moufang loops and groups with triality are essentially the same thing. (English) Zbl 1447.20002 Memoirs of the American Mathematical Society 1252. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3622-3/pbk; 978-1-4704-5321-3/ebook). xiv, 186 p. (2019). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20-02 20N05 PDFBibTeX XMLCite \textit{J. I. Hall}, Moufang loops and groups with triality are essentially the same thing. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1447.20002) Full Text: DOI
Vojtěchovský, Petr; Yang, Seung Yeop Enumeration of racks and quandles up to isomorphism. (English) Zbl 1470.16069 Math. Comput. 88, No. 319, 2523-2540 (2019). MSC: 16T25 20N05 57K14 PDFBibTeX XMLCite \textit{P. Vojtěchovský} and \textit{S. Y. Yang}, Math. Comput. 88, No. 319, 2523--2540 (2019; Zbl 1470.16069) Full Text: DOI arXiv
Artamonov, Viacheslav A. Applications of quasigroups to cryprography. (English) Zbl 1438.20077 Sarajevo J. Math. 14(27), No. 2, 191-205 (2018). MSC: 20N05 94A60 PDFBibTeX XMLCite \textit{V. A. Artamonov}, Sarajevo J. Math. 14(27), No. 2, 191--205 (2018; Zbl 1438.20077)
Vojtěchovský, Petr Bol loops and Bruck loops of order \(pq\) up to isotopism. (English) Zbl 1486.20082 Finite Fields Appl. 52, 1-9 (2018). MSC: 20N05 PDFBibTeX XMLCite \textit{P. Vojtěchovský}, Finite Fields Appl. 52, 1--9 (2018; Zbl 1486.20082) Full Text: DOI arXiv
Bardyla, Serhii On locally compact shift-continuous topologies on the \(\alpha\)-bicyclic monoid. (English) Zbl 1421.54025 Topol. Algebra Appl. 6, 34-42 (2018). Reviewer: Zhangyong Cai (Nanning) MSC: 54H10 20M10 22A15 54A10 PDFBibTeX XMLCite \textit{S. Bardyla}, Topol. Algebra Appl. 6, 34--42 (2018; Zbl 1421.54025) 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
Mayr, Peter; Ruškuc, Nik Finiteness properties of direct products of algebraic structures. (English) Zbl 1415.08002 J. Algebra 494, 167-187 (2018). Reviewer: C. Pereira da Silva (Curitiba) MSC: 08B25 08A05 08A30 08B05 20N05 06B25 PDFBibTeX XMLCite \textit{P. Mayr} and \textit{N. Ruškuc}, J. Algebra 494, 167--187 (2018; Zbl 1415.08002) Full Text: DOI arXiv
Berger, Clemens; Bourn, Dominique Central reflections and nilpotency in exact Mal’tsev categories. (English) Zbl 1397.18021 J. Homotopy Relat. Struct. 12, No. 4, 765-835 (2017). MSC: 18D35 17B30 18E10 18G50 20F18 PDFBibTeX XMLCite \textit{C. Berger} and \textit{D. Bourn}, J. Homotopy Relat. Struct. 12, No. 4, 765--835 (2017; Zbl 1397.18021) Full Text: DOI arXiv
Rajah, Andrew; Ademola, Lois Adewoye Moufang loops of odd order \(p^4q^3\). (English) Zbl 1379.20016 Bull. Malays. Math. Sci. Soc. (2) 40, No. 4, 1817-1828 (2017). MSC: 20N05 PDFBibTeX XMLCite \textit{A. Rajah} and \textit{L. A. Ademola}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 4, 1817--1828 (2017; Zbl 1379.20016) Full Text: DOI
Smith, J. D. H. Poset loops. (English) Zbl 1456.06003 Order 34, No. 2, 265-285 (2017). MSC: 06A11 20N05 PDFBibTeX XMLCite \textit{J. D. H. Smith}, Order 34, No. 2, 265--285 (2017; Zbl 1456.06003) Full Text: DOI
Gribov, Alexey V. The prime radical of alternative rings and loops. (English. Russian original) Zbl 1373.20084 J. Math. Sci., New York 223, No. 5, 587-601 (2017); translation from Fundam. Prikl. Mat. 20, No. 1, 145-166 (2015). Reviewer: Wiesław A. Dudek (Wrocław) MSC: 20N05 17A30 17D15 17A65 PDFBibTeX XMLCite \textit{A. V. Gribov}, J. Math. Sci., New York 223, No. 5, 587--601 (2017; Zbl 1373.20084); translation from Fundam. Prikl. Mat. 20, No. 1, 145--166 (2015) Full Text: DOI
Gribov, Alexey V. Some homomorphic cryptosystems based on nonassociative structures. (English. Russian original) Zbl 1379.94040 J. Math. Sci., New York 223, No. 5, 581-586 (2017); translation from Fundam. Prikl. Mat. 20, No. 1, 135-143 (2015). MSC: 94A60 20N05 PDFBibTeX XMLCite \textit{A. V. Gribov}, J. Math. Sci., New York 223, No. 5, 581--586 (2017; Zbl 1379.94040); translation from Fundam. Prikl. Mat. 20, No. 1, 135--143 (2015) Full Text: DOI
O’Brien, E. A.; Vojtěchovský, Petr Code loops in dimension at most \(8\). (English) Zbl 1401.20071 J. Algebra 473, 607-626 (2017). MSC: 20N05 15A69 20B25 20B40 20D08 94B25 PDFBibTeX XMLCite \textit{E. A. O'Brien} and \textit{P. Vojtěchovský}, J. Algebra 473, 607--626 (2017; Zbl 1401.20071) Full Text: DOI arXiv
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
Oğuz, Seda; Karpuz, Eylem G. Finite presentability of generalized Bruck-Reilly \(\ast\)-extension of groups. (English) Zbl 1372.20053 Asian-Eur. J. Math. 9, No. 4, Article ID 1650090, 14 p. (2016). MSC: 20M05 20M18 PDFBibTeX XMLCite \textit{S. Oğuz} and \textit{E. G. Karpuz}, Asian-Eur. J. Math. 9, No. 4, Article ID 1650090, 14 p. (2016; Zbl 1372.20053) Full Text: DOI
Csörgő, Piroska A characterization of nilpotent Moufang loops of odd order. (English) Zbl 1394.20040 J. Algebra Appl. 15, No. 10, Article ID 1650183, 12 p. (2016). MSC: 20N05 PDFBibTeX XMLCite \textit{P. Csörgő}, J. Algebra Appl. 15, No. 10, Article ID 1650183, 12 p. (2016; Zbl 1394.20040) Full Text: DOI
Juhász, Zsófia; Vernitski, Alexei Semigroups with operation-compatible Green’s quasiorders. (English) Zbl 1368.06010 Semigroup Forum 93, No. 2, 387-402 (2016). Reviewer: Mikhail Volkov (Ekaterinburg) MSC: 06F05 20M10 20M17 PDFBibTeX XMLCite \textit{Z. Juhász} and \textit{A. Vernitski}, Semigroup Forum 93, No. 2, 387--402 (2016; Zbl 1368.06010) Full Text: DOI Link
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
Grichkov, Alexander N.; Zavarnitsine, Andrei V. Multiplication formulas in Moufang loops. (English) Zbl 1366.20039 Int. J. Algebra Comput. 26, No. 4, 705-725 (2016). Reviewer: A. M. Shelekhov (Moskva) MSC: 20N05 PDFBibTeX XMLCite \textit{A. N. Grichkov} and \textit{A. V. Zavarnitsine}, Int. J. Algebra Comput. 26, No. 4, 705--725 (2016; Zbl 1366.20039) Full Text: DOI arXiv
Gribov, A. V.; Mikhalev, A. V. Prime radical of loops and \(\Omega\)-loops. I. (English. Russian original) Zbl 1342.20062 J. Math. Sci., New York 213, No. 2, 145-157 (2016); translation from Fundam. Prikl. Mat. 19, No. 2, 25-42 (2014). MSC: 20N05 20N15 PDFBibTeX XMLCite \textit{A. V. Gribov} and \textit{A. V. Mikhalev}, J. Math. Sci., New York 213, No. 2, 145--157 (2016; Zbl 1342.20062); translation from Fundam. Prikl. Mat. 19, No. 2, 25--42 (2014) Full Text: DOI
Stuhl, Izabella Moufang’s theorem for non-Moufang loops. (English) Zbl 1356.20037 Aequationes Math. 90, No. 2, 329-333 (2016). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 05B07 51E10 PDFBibTeX XMLCite \textit{I. Stuhl}, Aequationes Math. 90, No. 2, 329--333 (2016; Zbl 1356.20037) Full Text: DOI arXiv
Korchmáros, Gábor; Nagy, Gábor P. 3-nets realizing a diassociative loop in a projective plane. (English) Zbl 1358.51008 Des. Codes Cryptography 79, No. 3, 443-449 (2016). Reviewer: Vito Napolitano (Napoli) MSC: 51E30 51E15 20N05 PDFBibTeX XMLCite \textit{G. Korchmáros} and \textit{G. P. Nagy}, Des. Codes Cryptography 79, No. 3, 443--449 (2016; Zbl 1358.51008) Full Text: DOI arXiv
Aboras, Mouna; Vojtěchovský, Petr Automorphisms of dihedral-like automorphic loops. (English) Zbl 1348.20070 Commun. Algebra 44, No. 2, 613-627 (2016). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 20D45 PDFBibTeX XMLCite \textit{M. Aboras} and \textit{P. Vojtěchovský}, Commun. Algebra 44, No. 2, 613--627 (2016; Zbl 1348.20070) Full Text: DOI arXiv
Oğuz, Seda; Karpuz, Eylem G. Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly \(*\)-extensions of monoids. (English) Zbl 1332.20057 Asian-Eur. J. Math. 8, No. 4, Article ID 1550075, 11 p. (2015). MSC: 20M10 20M17 20M19 20E22 PDFBibTeX XMLCite \textit{S. Oğuz} and \textit{E. G. Karpuz}, Asian-Eur. J. Math. 8, No. 4, Article ID 1550075, 11 p. (2015; Zbl 1332.20057) Full Text: DOI
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
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. Hopf algebras in non-associative Lie theory. (English) Zbl 1393.17001 Bull. Math. Sci. 4, No. 1, 129-173 (2014). MSC: 17-02 17D10 20N05 22A30 PDFBibTeX XMLCite \textit{J. Mostovoy} et al., Bull. Math. Sci. 4, No. 1, 129--173 (2014; Zbl 1393.17001) Full Text: DOI arXiv
Grishkov, Alexander; Kinyon, Michael; Nagy, Gábor P. Solvability of commutative automorphic loops. (English) Zbl 1306.20069 Proc. Am. Math. Soc. 142, No. 9, 3029-3037 (2014). Reviewer: Jaiyeola Temitope Gbolahan (Ile-Ife) MSC: 20N05 17B60 20B15 PDFBibTeX XMLCite \textit{A. Grishkov} et al., Proc. Am. Math. Soc. 142, No. 9, 3029--3037 (2014; Zbl 1306.20069) Full Text: DOI arXiv
Pumplün, S. A note on Moufang loops arising from octonion algebras over rings. (English) Zbl 1303.20069 Beitr. Algebra Geom. 55, No. 1, 33-42 (2014). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 17D05 PDFBibTeX XMLCite \textit{S. Pumplün}, Beitr. Algebra Geom. 55, No. 1, 33--42 (2014; Zbl 1303.20069) Full Text: DOI
Karpuz, Eylem Guzel; Çevik, Ahmet Sinan; Koppitz, Jörg; Cangul, Ismail Naci Some fixed-point results on (generalized) Bruck-Reilly \(*\)-extensions of monoids. (English) Zbl 1291.20055 Fixed Point Theory Appl. 2013, Paper No. 78, 9 p. (2013). MSC: 20M10 20M17 20M18 20M15 20E22 PDFBibTeX XMLCite \textit{E. G. Karpuz} et al., Fixed Point Theory Appl. 2013, Paper No. 78, 9 p. (2013; Zbl 1291.20055) Full Text: DOI
Grishkov, Alexander N.; Zavarnitsine, Andrei V. Abelian-by-cyclic Moufang loops. (English) Zbl 1284.20073 Commun. Algebra 41, No. 6, 2242-2253 (2013). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 PDFBibTeX XMLCite \textit{A. N. Grishkov} and \textit{A. V. Zavarnitsine}, Commun. Algebra 41, No. 6, 2242--2253 (2013; Zbl 1284.20073) Full Text: DOI arXiv
Benkart, Georgia; Madariaga, Sara; Pérez-Izquierdo, José M. Hopf algebras with triality. (English) Zbl 1278.16032 Trans. Am. Math. Soc. 365, No. 2, 1001-1023 (2013). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T05 16T10 17B35 17D10 20N05 PDFBibTeX XMLCite \textit{G. Benkart} et al., Trans. Am. Math. Soc. 365, No. 2, 1001--1023 (2013; Zbl 1278.16032) Full Text: DOI arXiv
Kocapinar, Canan; Karpuz, Eylem Güzel; Ateş, Firat; Çevik, A. Sinan Gröbner-Shirshov bases of the generalized Bruck-Reilly \(*\)-extension. (English) Zbl 1298.20070 Algebra Colloq. 19, Spec. Iss. 1, 813-820 (2012). MSC: 20M05 PDFBibTeX XMLCite \textit{C. Kocapinar} et al., Algebra Colloq. 19, 813--820 (2012; Zbl 1298.20070) Full Text: DOI
Grishkov, A.; Plaumann, P.; Sabinina, L. The structure of free automorphic Moufang loops. (English) Zbl 1286.20076 Proc. Am. Math. Soc. 140, No. 7, 2209-2214 (2012). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 PDFBibTeX XMLCite \textit{A. Grishkov} et al., Proc. Am. Math. Soc. 140, No. 7, 2209--2214 (2012; Zbl 1286.20076) Full Text: DOI
Glukhov, M. M. On a method of construction of orthogonal quasigroup systems by means of groups. (Russian. English summary) Zbl 1475.05017 Mat. Vopr. Kriptografii 2, No. 4, 5-24 (2011). MSC: 05B15 20N05 PDFBibTeX XMLCite \textit{M. M. Glukhov}, Mat. Vopr. Kriptografii 2, No. 4, 5--24 (2011; Zbl 1475.05017) Full Text: DOI MNR
Pasotti, Stefano; Zizioli, Elena Loops with two-sided inverses constructed by a class of regular permutation sets. (English) Zbl 1237.20059 J. Geom. 100, No. 1-2, 129-145 (2011). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 51A15 05C25 PDFBibTeX XMLCite \textit{S. Pasotti} and \textit{E. Zizioli}, J. Geom. 100, No. 1--2, 129--145 (2011; Zbl 1237.20059) Full Text: DOI
Jedlička, Přemysl; Kinyon, Michael; Vojtěchovský, Petr The structure of commutative automorphic loops. (English) Zbl 1215.20060 Trans. Am. Math. Soc. 363, No. 1, 365-384 (2011). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Jedlička} et al., Trans. Am. Math. Soc. 363, No. 1, 365--384 (2011; Zbl 1215.20060) Full Text: DOI arXiv
Drápal, Aleš A simplified proof of Moufang’s theorem. (English) Zbl 1215.20059 Proc. Am. Math. Soc. 139, No. 1, 93-98 (2011). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 08A05 PDFBibTeX XMLCite \textit{A. Drápal}, Proc. Am. Math. Soc. 139, No. 1, 93--98 (2011; Zbl 1215.20059) Full Text: DOI
Kowalski, A. V.; Ursu, V. I. An equational theory for a nilpotent \(A\)-loop. (English. Russian original) Zbl 1255.20059 Algebra Logic 49, No. 4, 326-339 (2010); translation from Algebra Logika 49, No. 4, 479-497 (2010). MSC: 20N05 08B05 PDFBibTeX XMLCite \textit{A. V. Kowalski} and \textit{V. I. Ursu}, Algebra Logic 49, No. 4, 326--339 (2010; Zbl 1255.20059); translation from Algebra Logika 49, No. 4, 479--497 (2010) Full Text: DOI
Vanžurová, Alena Medial quasigroups of type \((n,k)\). (English) Zbl 1236.20066 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 49, No. 2, 107-122 (2010). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 05B25 PDFBibTeX XMLCite \textit{A. Vanžurová}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 49, No. 2, 107--122 (2010; Zbl 1236.20066) Full Text: EuDML
Fountain, John The work of Douglas Munn and its legacy. (English) Zbl 1195.01064 Semigroup Forum 81, No. 1, 2-25 (2010); Erratum 82, No. 1, 197 (2011). MSC: 01A70 20-03 20M18 20M30 20M25 PDFBibTeX XMLCite \textit{J. Fountain}, Semigroup Forum 81, No. 1, 2--25 (2010; Zbl 1195.01064) Full Text: DOI
Csörgő, Piroska; Drápal, Aleš Buchsteiner loops and conjugacy closedness. (English) Zbl 1197.20055 Commun. Algebra 38, No. 1, 11-27 (2010). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Csörgő} and \textit{A. Drápal}, Commun. Algebra 38, No. 1, 11--27 (2010; Zbl 1197.20055) Full Text: DOI
Nagy, Gábor P. A class of finite simple Bol loops of exponent 2. (English) Zbl 1179.20061 Trans. Am. Math. Soc. 361, No. 10, 5331-5343 (2009). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 20D05 PDFBibTeX XMLCite \textit{G. P. Nagy}, Trans. Am. Math. Soc. 361, No. 10, 5331--5343 (2009; Zbl 1179.20061) Full Text: DOI arXiv
Carvalho, Catarina A. Bruck-Reilly extensions of direct products of monoids and completely (0-)simple semigroups. (English) Zbl 1251.20051 Semigroup Forum 79, No. 1, 145-158 (2009). Reviewer: Gracinda M. S. Gomes (Lisboa) MSC: 20M05 20M10 PDFBibTeX XMLCite \textit{C. A. Carvalho}, Semigroup Forum 79, No. 1, 145--158 (2009; Zbl 1251.20051) Full Text: DOI
Carvalho, C. A. On presentations of Bruck-Reilly extensions. (English) Zbl 1222.20038 Commun. Algebra 37, No. 8, 2871-2886 (2009). MSC: 20M05 20M18 PDFBibTeX XMLCite \textit{C. A. Carvalho}, Commun. Algebra 37, No. 8, 2871--2886 (2009; Zbl 1222.20038) Full Text: DOI
Kinyon, Michael K.; Pula, Kyle; Vojtěchovský, Petr Admissible orders of Jordan loops. (English) Zbl 1161.20058 J. Comb. Des. 17, No. 2, 103-118 (2009). MSC: 20N05 PDFBibTeX XMLCite \textit{M. K. Kinyon} et al., J. Comb. Des. 17, No. 2, 103--118 (2009; Zbl 1161.20058) Full Text: DOI arXiv
Nagy, Gábor P. A class of simple proper Bol loops. (English) Zbl 1167.20038 Manuscr. Math. 127, No. 1, 81-88 (2008). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 20E32 20D40 PDFBibTeX XMLCite \textit{G. P. Nagy}, Manuscr. Math. 127, No. 1, 81--88 (2008; Zbl 1167.20038) Full Text: DOI arXiv
Mostovoy, Jacob Nilpotency and dimension series for loops. (English) Zbl 1151.20052 Commun. Algebra 36, No. 4, 1565-1579 (2008). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 17D99 20F14 PDFBibTeX XMLCite \textit{J. Mostovoy}, Commun. Algebra 36, No. 4, 1565--1579 (2008; Zbl 1151.20052) Full Text: DOI arXiv
Plaumann, Peter; Sabinina, Liudmila On nuclearly nilpotent loops of finite exponent. (English) Zbl 1173.20043 Commun. Algebra 36, No. 4, 1346-1353 (2008). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Plaumann} and \textit{L. Sabinina}, Commun. Algebra 36, No. 4, 1346--1353 (2008; Zbl 1173.20043) Full Text: DOI
Andrade, I.; Descalço, L.; Martins, Manuel A. Automatic structures for semigroup constructions. (English) Zbl 1142.20036 Semigroup Forum 76, No. 2, 239-255 (2008). Reviewer: Jaak Henno (Tallinn) MSC: 20M10 20M05 20M35 PDFBibTeX XMLCite \textit{I. Andrade} et al., Semigroup Forum 76, No. 2, 239--255 (2008; Zbl 1142.20036) 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
Drápal, Ales Structural interactions of conjugacy closed loops. (English) Zbl 1144.20043 Trans. Am. Math. Soc. 360, No. 2, 671-689 (2008). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 PDFBibTeX XMLCite \textit{A. Drápal}, Trans. Am. Math. Soc. 360, No. 2, 671--689 (2008; Zbl 1144.20043) Full Text: DOI
Mostovoy, J.; Pérez-Izquierdo, J. M. Dimension filtration on loops. (English) Zbl 1146.20052 Isr. J. Math. 158, 105-118 (2007). Reviewer: Liudmila Sabinina (Cuernavaca) MSC: 20N05 20F14 17B60 17D99 20C07 PDFBibTeX XMLCite \textit{J. Mostovoy} and \textit{J. M. Pérez-Izquierdo}, Isr. J. Math. 158, 105--118 (2007; Zbl 1146.20052) Full Text: DOI arXiv
Figula, Á.; Strambach, K. Loops which are semidirect products of groups. (English) Zbl 1123.20061 Acta Math. Hung. 114, No. 3, 247-266 (2007). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 51F25 22A30 15A18 17D99 53C35 51N30 PDFBibTeX XMLCite \textit{Á. Figula} and \textit{K. Strambach}, Acta Math. Hung. 114, No. 3, 247--266 (2007; Zbl 1123.20061) Full Text: DOI arXiv
Pchelintsev, S. V. Structure of finitely generated commutative alternative algebras and special Moufang loops. (English. Russian original) Zbl 1135.20046 Math. Notes 80, No. 3, 396-402 (2006); translation from Mat. Zametki 80, No. 3, 413-420 (2006). Reviewer: A. M. Shelekhov (Moskva) MSC: 20N05 17D05 PDFBibTeX XMLCite \textit{S. V. Pchelintsev}, Math. Notes 80, No. 3, 396--402 (2006; Zbl 1135.20046); translation from Mat. Zametki 80, No. 3, 413--420 (2006) Full Text: DOI
Carvalho, C. A.; Ruškuc, N. Finite presentability of Bruck-Reilly extensions of semilattices. (English) Zbl 1110.20044 Commun. Algebra 34, No. 9, 3301-3313 (2006). Reviewer: Peeter Normak (Tallinn) MSC: 20M05 20M10 20M15 PDFBibTeX XMLCite \textit{C. A. Carvalho} and \textit{N. Ruškuc}, Commun. Algebra 34, No. 9, 3301--3313 (2006; Zbl 1110.20044) Full Text: DOI
Aschbacher, Michael; Kinyon, Michael K.; Phillips, J. D. Finite Bruck loops. (English) Zbl 1102.20046 Trans. Am. Math. Soc. 358, No. 7, 3061-3075 (2006). Reviewer: A. M. Shelekhov (Moskva) MSC: 20N05 20D10 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., Trans. Am. Math. Soc. 358, No. 7, 3061--3075 (2006; Zbl 1102.20046) Full Text: DOI arXiv
Chein, O.; Goodaire, E. G. When is an \(L(B,m,n,r,s,t,z,w)\) loop SRAR? (English) Zbl 1108.20063 Abh. Math. Semin. Univ. Hamb. 75, 245-255 (2005). Reviewer: A. M. Shelekhov (Moskva) MSC: 20N05 PDFBibTeX XMLCite \textit{O. Chein} and \textit{E. G. Goodaire}, Abh. Math. Semin. Univ. Hamb. 75, 245--255 (2005; Zbl 1108.20063) Full Text: DOI
Chein, Orin; Kinyon, Michael K.; Rajah, Andrew; Vojtěchovský, Petr Loops and the Lagrange property. (English) Zbl 1039.20037 Result. Math. 43, No. 1-2, 74-78 (2003). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 PDFBibTeX XMLCite \textit{O. Chein} et al., Result. Math. 43, No. 1--2, 74--78 (2003; Zbl 1039.20037) Full Text: DOI arXiv
Klaus, Stephan H-spaces with cyclic symmetry. (English) Zbl 1012.55013 Topology Appl. 124, No. 1, 1-8 (2002). Reviewer: Martin D.Crossley (Swansea) MSC: 55P45 55U10 18G30 20N05 20N15 55P48 55S45 18D50 PDFBibTeX XMLCite \textit{S. Klaus}, Topology Appl. 124, No. 1, 1--8 (2002; Zbl 1012.55013) Full Text: DOI
Im, B.; Karzel, H.; Ko, H.-J. Webs with rotation and reflection properties and their relations with certain loops. (English) Zbl 1015.20051 Abh. Math. Semin. Univ. Hamb. 72, 9-20 (2002). Reviewer: Vladislav Goldberg (Newark) MSC: 20N05 53A60 PDFBibTeX XMLCite \textit{B. Im} et al., Abh. Math. Semin. Univ. Hamb. 72, 9--20 (2002; Zbl 1015.20051) Full Text: DOI
Chein, Orin; Goodaire, Edgar G. Three-generator indecomposable RA loops. (English) Zbl 1063.20069 Commun. Algebra 30, No. 7, 3559-3564 (2002). MSC: 20N05 PDFBibTeX XMLCite \textit{O. Chein} and \textit{E. G. Goodaire}, Commun. Algebra 30, No. 7, 3559--3564 (2002; Zbl 1063.20069) Full Text: DOI
Kinyon, Michael K.; Kunen, Kenneth; Phillips, J. D. Every diassociative \(A\)-loop is Moufang. (English) Zbl 0990.20044 Proc. Am. Math. Soc. 130, No. 3, 619-624 (2002). Reviewer: Elena Zizioli (Brescia) MSC: 20N05 68T15 PDFBibTeX XMLCite \textit{M. K. Kinyon} et al., Proc. Am. Math. Soc. 130, No. 3, 619--624 (2002; Zbl 0990.20044) Full Text: DOI arXiv
Vojtěchovský, Petr Generators of nonassociative simple Moufang loops over finite prime fields. (English) Zbl 0990.20045 J. Algebra 241, No. 1, 186-192 (2001). Reviewer: Elena Brožíková (Praha) MSC: 20N05 PDFBibTeX XMLCite \textit{P. Vojtěchovský}, J. Algebra 241, No. 1, 186--192 (2001; Zbl 0990.20045) Full Text: DOI arXiv
Chein, Orin; Goodaire, Edgar G. Minimally nonassociative commutative Moufang loops. (English) Zbl 0984.20047 Result. Math. 39, No. 1-2, 11-17 (2001). Reviewer: R.Artzy (Haifa) MSC: 20N05 PDFBibTeX XMLCite \textit{O. Chein} and \textit{E. G. Goodaire}, Result. Math. 39, No. 1--2, 11--17 (2001; Zbl 0984.20047) Full Text: DOI
Ursu, V. I. Recursive inseparability of the sets of identically valid and finitely refutable formulas of some elementary theories of varieties. (English. Russian original) Zbl 0953.03054 Sib. Math. J. 41, No. 3, 577-590 (2000); translation from Sib. Mat. Zh. 41, No. 3, 696-711 (2000). Reviewer: A.S.Morozov (Novosibirsk) MSC: 03D35 20N05 08B99 PDFBibTeX XMLCite \textit{V. I. Ursu}, Sib. Math. J. 41, No. 3, 696--711 (2000; Zbl 0953.03054); translation from Sib. Mat. Zh. 41, No. 3, 696--711 (2000) Full Text: DOI EuDML
Lafuente, Julio P. Parametrizing group extension loops. (English) Zbl 0956.20055 Commun. Algebra 28, No. 6, 2783-2800 (2000). Reviewer: Elena Brožíková (Praha) MSC: 20N05 20E22 PDFBibTeX XMLCite \textit{J. P. Lafuente}, Commun. Algebra 28, No. 6, 2783--2800 (2000; Zbl 0956.20055) Full Text: DOI
Kunen, Kenneth The structure of conjugacy closed loops. (English) Zbl 0962.20048 Trans. Am. Math. Soc. 352, No. 6, 2889-2911 (2000). Reviewer: K.Strambach (Erlangen) MSC: 20N05 03C05 08A05 PDFBibTeX XMLCite \textit{K. Kunen}, Trans. Am. Math. Soc. 352, No. 6, 2889--2911 (2000; Zbl 0962.20048) Full Text: DOI
Zhou, Yongxin Cayley-Dickson algebras and alternative loop algebras. (English) Zbl 0953.17022 Commun. Algebra 28, No. 1, 523-539 (2000). Reviewer: Ivan P.Shestakov (Sao Paulo) MSC: 17D05 20N05 PDFBibTeX XMLCite \textit{Y. Zhou}, Commun. Algebra 28, No. 1, 523--539 (2000; Zbl 0953.17022) Full Text: DOI
Foguel, Tuval; Ungar, Abraham A. Involutory decomposition of groups into twisted subgroups and subgroups. (English) Zbl 0944.20053 J. Group Theory 3, No. 1, 27-46 (2000). Reviewer: M.Csikós (Gödöllö) MSC: 20N05 20E22 PDFBibTeX XMLCite \textit{T. Foguel} and \textit{A. A. Ungar}, J. Group Theory 3, No. 1, 27--46 (2000; Zbl 0944.20053) Full Text: DOI
Phillips, J. D. Moufang loop multiplication groups with triality. (English) Zbl 0956.20056 Rocky Mt. J. Math. 29, No. 4, 1483-1490 (1999). Reviewer: Elena Brožíková (Praha) MSC: 20N05 PDFBibTeX XMLCite \textit{J. D. Phillips}, Rocky Mt. J. Math. 29, No. 4, 1483--1490 (1999; Zbl 0956.20056) Full Text: DOI Link
Sandu, N. I. On the Bruck-Slaby theorem for commutative Moufang loops. (English. Russian original) Zbl 0962.20050 Math. Notes 66, No. 2, 217-222 (1999); translation from Mat. Zametki 66, No. 2, 275-281 (1999). Reviewer: Elena Brožíková (Praha) MSC: 20N05 17D05 PDFBibTeX XMLCite \textit{N. I. Sandu}, Math. Notes 66, No. 2, 217--222 (1999; Zbl 0962.20050); translation from Mat. Zametki 66, No. 2, 275--281 (1999) Full Text: DOI