Darnel, Michael R. Quasi-Engel varieties of lattice-ordered groups. (English) Zbl 07673629 Algebra Univers. 84, No. 2, Paper No. 14, 30 p. (2023). MSC: 06F15 20F19 20F45 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel}, Algebra Univers. 84, No. 2, Paper No. 14, 30 p. (2023; Zbl 07673629) Full Text: DOI
Darnel, M. R.; Holland, W. C.; Pajoohesh, H. Generalized commutativity of lattice-ordered groups. II. (English) Zbl 1334.06031 Algebra Univers. 75, No. 1, 51-59 (2016). MSC: 06F15 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel} et al., Algebra Univers. 75, No. 1, 51--59 (2016; Zbl 1334.06031) Full Text: DOI
Darnel, M. R.; Holland, W. C.; Pajoohesh, H. Generalized commutativity of lattice-ordered groups. (English) Zbl 1349.06045 Math. Slovaca 65, No. 2, 325-342 (2015). MSC: 06F15 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel} et al., Math. Slovaca 65, No. 2, 325--342 (2015; Zbl 1349.06045) Full Text: DOI
Darnel, M. R.; Holland, W. C. Minimal non-metabelian varieties of \(\ell\)-groups which contain no nonabelian \(o\)-groups. (English) Zbl 1320.06014 Commun. Algebra 42, No. 12, 5100-5133 (2014). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F15 08B15 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel} and \textit{W. C. Holland}, Commun. Algebra 42, No. 12, 5100--5133 (2014; Zbl 1320.06014) Full Text: DOI
Darnel, Michael R.; Holland, W. Charles; Pajoohesh, Homeira The relationship of partial metric varieties and commuting powers varieties. (English) Zbl 1282.06016 Order 30, No. 2, 403-414 (2013). MSC: 06F15 08B15 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel} et al., Order 30, No. 2, 403--414 (2013; Zbl 1282.06016) Full Text: DOI
Darnel, Michael R. Value quotients and product torsion classes of lattice-ordered groups. (English) Zbl 1186.06009 Algebra Univers. 60, No. 4, 405-423 (2009). Reviewer: Marius Tărnăuceanu (Iaşi) MSC: 06F15 06D22 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel}, Algebra Univers. 60, No. 4, 405--423 (2009; Zbl 1186.06009) Full Text: DOI
Darnel, Michael R. Selections of lattice-ordered groups. (English) Zbl 1136.06008 Algebra Univers. 57, No. 3, 273-290 (2007). Reviewer: Heinz Mitsch (Wien) MSC: 06F15 PDFBibTeX XMLCite \textit{M. R. Darnel}, Algebra Univers. 57, No. 3, 273--290 (2007; Zbl 1136.06008) Full Text: DOI
Chen, Yuanqian; Conrad, Paul; Darnel, Michael Archimedean closed lattice-ordered groups. (English) Zbl 1058.06019 Rocky Mt. J. Math. 34, No. 1, 111-124 (2004). Reviewer: Jan Jakubík (Košice) MSC: 06F20 PDFBibTeX XMLCite \textit{Y. Chen} et al., Rocky Mt. J. Math. 34, No. 1, 111--124 (2004; Zbl 1058.06019) Full Text: DOI
Conrad, Paul F.; Darnel, Michael R. Almost finite-valued lattice-ordered groups. (English) Zbl 0993.06013 Commun. Algebra 29, No. 11, 5067-5083 (2001). Reviewer: Bohumil František Šmarda (Brno) MSC: 06F15 20F60 06F20 PDFBibTeX XMLCite \textit{P. F. Conrad} and \textit{M. R. Darnel}, Commun. Algebra 29, No. 11, 5067--5083 (2001; Zbl 0993.06013) Full Text: DOI
Darnel, Michael R. \(\sigma \)-interpolation lattice-ordered groups. (English) Zbl 1035.06004 Czech. Math. J. 50, No. 1, 1-2 (2000). MSC: 06F15 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel}, Czech. Math. J. 50, No. 1, 1--2 (2000; Zbl 1035.06004) Full Text: DOI EuDML
Darnel, Michael R.; Martinez, Jorge Hyper-special valued lattice-ordered groups. (English) Zbl 0955.06012 Forum Math. 12, No. 4, 477-512 (2000). Reviewer: Nikolai Yakovle Medvedev (Barnaul) MSC: 06F15 54G12 PDFBibTeX XMLCite \textit{M. R. Darnel} and \textit{J. Martinez}, Forum Math. 12, No. 4, 477--512 (2000; Zbl 0955.06012) Full Text: DOI Link
Conrad, Paul F.; Darnel, Michael R. Generalized Boolean algebras in lattice-ordered groups. (English) Zbl 0919.06009 Order 14, No. 4, 295-319 (1998). Reviewer: H.Mitsch (Wien) MSC: 06F15 06F25 PDFBibTeX XMLCite \textit{P. F. Conrad} and \textit{M. R. Darnel}, Order 14, No. 4, 295--319 (1998; Zbl 0919.06009) Full Text: DOI
Darnel, Michael R.; Wojciechowski, Piotr Nearly abelian, nilpotent, and Engel lattice-ordered groups. (English) Zbl 0856.06011 Tatra Mt. Math. Publ. 5, 189-200 (1995). Reviewer: František Šik (Brno) MSC: 06F15 20F18 20F45 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel} and \textit{P. Wojciechowski}, Tatra Mt. Math. Publ. 5, 189--200 (1995; Zbl 0856.06011)
Darnel, M. R.; Giraudet, M.; McCleary, S. H. Uniqueness of the group operation on the lattice of order-automorphisms of the real line. (English) Zbl 0819.06014 Algebra Univers. 33, No. 3, 419-427 (1995). MSC: 06F15 PDFBibTeX XMLCite \textit{M. R. Darnel} et al., Algebra Univers. 33, No. 3, 419--427 (1995; Zbl 0819.06014) Full Text: DOI
Darnel, Michael R. Theory of lattice-ordered groups. (English) Zbl 0810.06016 Pure and Applied Mathematics, Marcel Dekker. 187. New York, NY: Marcel Dekker. vii, 539 p. (1995). Reviewer: S.P.Hurd (Charleston) MSC: 06F15 20F60 06-02 PDFBibTeX XMLCite \textit{M. R. Darnel}, Theory of lattice-ordered groups. New York, NY: Marcel Dekker (1995; Zbl 0810.06016)
Darnel, Michael R. Cyclic extensions of the Medvedev ordered groups. (English) Zbl 0790.06018 Czech. Math. J. 43, No. 2, 193-204 (1993). Reviewer: N.Ya.Medvedev (Barnaul) MSC: 06F15 PDFBibTeX XMLCite \textit{M. R. Darnel}, Czech. Math. J. 43, No. 2, 193--204 (1993; Zbl 0790.06018) Full Text: EuDML
Conrad, Paul F.; Darnel, Michael R. Lattice-ordered groups whose lattices determine their additions. (English) Zbl 0756.06009 Trans. Am. Math. Soc. 330, No. 2, 575-598 (1992). Reviewer: J.Ševečková (Brno) MSC: 06F15 06F20 PDFBibTeX XMLCite \textit{P. F. Conrad} and \textit{M. R. Darnel}, Trans. Am. Math. Soc. 330, No. 2, 575--598 (1992; Zbl 0756.06009) Full Text: DOI
Darnel, Michael R. The free lattice-ordered group over a nilpotent group. (English) Zbl 0724.06009 Proc. Am. Math. Soc. 111, No. 2, 301-307 (1991). Reviewer: J.Jakubík (Košice) MSC: 06F15 20F60 PDFBibTeX XMLCite \textit{M. R. Darnel}, Proc. Am. Math. Soc. 111, No. 2, 301--307 (1991; Zbl 0724.06009) Full Text: DOI
Darnel, Michael R. Recent results on the free lattice-ordered group over a right-orderable group. (English) Zbl 0708.06012 Ordered algebraic structures, Proc. Caribb. Math. Found. Conf., Curaçao/Neth. Antilles 1988, Math. Appl., D. Reidel Publ. Co. 55, 51-57 (1989). Reviewer: J.L.Zemmer MSC: 06F15 06-02 PDFBibTeX XML
Darnel, Michael R.; Glass, A. M. W. Commutator relations and identities in lattice-ordered groups. (English) Zbl 0691.06007 Mich. Math. J. 36, No. 2, 203-211 (1989). Reviewer: N.Ya.Medvedev MSC: 06F15 PDFBibTeX XMLCite \textit{M. R. Darnel} and \textit{A. M. W. Glass}, Mich. Math. J. 36, No. 2, 203--211 (1989; Zbl 0691.06007) Full Text: DOI
Darnel, Michael R.; Glass, A. M. W.; Rhemtulla, Akbar H. Groups in which every right order is two sided. (English) Zbl 0675.06011 Arch. Math. 53, No. 6, 538-542 (1989). Reviewer: M.R.Darnel MSC: 06F15 PDFBibTeX XMLCite \textit{M. R. Darnel} et al., Arch. Math. 53, No. 6, 538--542 (1989; Zbl 0675.06011) Full Text: DOI
Bixler, J. Patrick; Darnel, Michael Special-valued \(\ell\)-groups. (English) Zbl 0582.06017 Algebra Univers. 22, 172-191 (1986). MSC: 06F15 20F60 20E07 PDFBibTeX XMLCite \textit{J. P. Bixler} and \textit{M. Darnel}, Algebra Univers. 22, 172--191 (1986; Zbl 0582.06017) Full Text: DOI