Publications


Book:

Lecture Notes On Algebraic Structure of Lattice-Ordered Rings, World Scientific Publishing 2014.
(http://www.worldscientific.com/worldscibooks/10.1142/9009)

Correction and Addition


Journal Articles:

(58) N. Durtschi, J. Ma, R. H. Redfield, Partially ordered rings with negative squares, Quaestiones Mathematicae (online: https://www.tandfonline.com/doi/abs/10.2989/16073606.2025.2505509?forwardService=showFullText&tokenAccess=EYIXXGMAWIFVICEYKDRF&tokenDomain=eprints&target=10.2989%2F16073606.2025.2505509).

(57) J. Ma, Partially ordered fields and integral domains, Order (online: https://rdcu.be/dNht8).

(56) J. Ma, Directed partial orders on complex numbers and quaternions, Journal of Algebra and Its Applications, Volume 24, Issue 08 (July 2025).

(55) J. Ma, Some questions on partially ordered rings - a survey, Quaestiones Mathematicae, 46 (2023), 2611-2624.

(54) K. Evans, J. Ma, Galois extensions and O*-fields, Positivity, 27 (2023) (https://rdcu.be/c8lGP).

(53) J. Ma, A. Martinez, The number fields that are O*-fields II, Quaestiones Mathematicae, 46 (2023), 1915-1923.

(52) J. Ma, The number fields that are O*-fields, Algebra Universalis, 83 (2022) (https://rdcu.be/cQvDo).

(51) J. Ma, Characterizing division closed lattice-ordered rings, Quaestiones Mathematicae, 45 (2022), 1343-1351.

(50) J. Ma, R. Redfield, Extending orders on rings with irreducible idempotents, Order, 39 (2022), 309-322.

(49) M. Findler, J. Ma, Extending partial orders on rings, Quaestiones Mathematicae, 44 (2021), 869-879.

(48) J. Ma, B. Rygaard, Division closed l-rings and power positive L*-rings, Quaestiones Mathematicae, 44 (2021), 1045-1053.

(47) J. Ma, Commutative consistently L*-rings, Algebra Universalis, (2019) (published online first: 7/22/2019).

(46) J. Ma, L. Wu, Y. Zhang, Directed partial orders on the field of generalized complex numbers with 1 not > 0, Positivity, 23 (2019), 1001-1007.

(45) J. Ma, Regular division closed lattice-ordered rings, Quaestiones Mathematicae, 42 (2019), 1353-1355.

(44) J. Ma, J. Smith, Division closed lattice-ordered rings and commutative L*-rings, Quaestiones Mathematicae, 42 (2019), 1019-1029.

(43) J. Ma, Directed partial orders on unital algebras, Quaestiones Mathematicae, 42 (2019), 447-450.

(42) J. Ma, L. Wu, Y. Zhang, Directed partial orders on generalized complext numbers with 1 > 0, Order, 35 (2018), 461-466.

(41) J. Ma, C. Yang, Commutative L*-rings II, Quaestiones Mathematicae, 41 (2017), 719-727.

(40) J. Ma, W. McGovern, Division closed partially ordered rings, Algebra Universalis, 78 (2017), 515-532.

(39) J. Ma, Y. Zhang, Commutative L*-rings, Journal of Mathematical Research and Its Application, 37 (2017), 267-273.

(38) J. Ma, Directed partial orders on quaternions, Quaternions: Theory and Applications, Nova Science Publishers 2017, 1-10.

(37) J. Ma, Division closed lattice-ordered rings, Order 34 (2017), 363-368.

(36) J. Ma, L. Wu, Y. Zhang, Directed partial orders on complex numbers and quaternions over non-archimedean linearly ordered fields, Order 34 (2017), 37-44.

(35) J. Ma, Directed partial orders on complex numbers and quaternions II, Positivity 20 (2016), 823-828.

(34) J. Ma, Partial orders on C = D + Di and H = D + Di + Dj + Dk, International Journal of Advanced Mathematical Sciences, 3 (2) (2015), 156-160.

(33) J. Ma, Matrix l-algebras over l-fields, Cogent Mathematics 2 (2015) (published online first, 6/15/2015).

(32) J. Ma, Directed partial orders on real quaternions, Quaestiones Mathematicae 39 (2016), 437-439.

(31) J. Ma, Y. Zhang, Positive derivations on Archimedean d-rings, Algebra Univers. 72 (2014), 163-166.

(30) J. Ma, Y. Zhang, Lattice-ordered matrix rings over totally ordered rings, Order 31 (2014), 45-54.

(29) J. Ma, Recognition of Lattice-ordered matrix algebras, Order 30 (2013), 617-623.

(28) J. Ma, Y. Zhang, Lattice-ordered matrix algebras containing positive cycles, Positivity 17 (2013), 299-307.

(27) J. Ma, Regular unital finite-dimensional lattice-ordered algebras, Comm. in Algebra 40 (2012), 1680-1689.

(26) M. Akkurt, Z. Alshair, L. Lamar, J. Ma, Unital four-dimensional lattice-ordered algebras with a distributive basis, ISRN Algebra (2011).

(25) J. Ma, Finite-dimensional l-simple l-algebras with a d-basis, Algebra Univers. 65 (2011), 341-351.

(24) J. Ma, Lattice orders on 2 x 2 triangular matrix algebras, Algebra Univers. 62 (2009), 51-61.

(23) J. Ma, E. March, Lattice-ordered triangular matrix algebras, J. Algebra 321 (2009), 3659-3667.

(22) J. Ma, R. H. Redfield, Positive derivations on Archimedean lattice-ordered rings, Positivity 13 (2009), 165-191.

(21) J. Ma, R. H. Redfield, D. Stelly, Lattice orders on sum of finite-dimensional matrix algebras, Linear Algebra Research Advances, 1-16, 2007 Nova Sciences Publishers.

(20) J. Ma, R. H. Redfield, Lattice-ordered fields determined by d-elements, Appl. Categor. Struct. 15 (2007), 19-33.

(19) J. Ma, R. H. Redfield, Lattice-ordered matrix rings over the integers, Comm. in Algebra 35 (2007), 2160-2170.

(18) J. Ma, Lattice-ordered algebras with a d-basis, J. Algebra 299 (2006), 731-746.

(17) J. Ma, Pure l-ideals in lattice-ordered rings, Comm. in Algebra, 33 (2005), 3797-3810.

(16) W. Bradley, J. Ma, Lattice-ordered 2 x 2 triangular matrix algebras, Linear Algebra Appl. 404 (2005), 262-274.

(15) J. Ma, R. H. Redfield, Fields of quotients of lattice-ordered domains, Algebra Univers. 52 (2004), 383-401.

(14) J. Ma, Finite-dimentional lattice-ordered algebras with d-elements, J. Algebra 280 (2004), 232-243.

(13) J. Ma, Finite dimensional simple algebras that do not admit a lattice order, Comm. in Algebra 32 (2004), 1615-1617.

(12) J. Ma, S. Steinberg, Construction of lattice orders on the semigroup ring of a positive rooted monoid , J. Algebra 260 (2003), 592-616.

(11) J. Ma, P. Wojciechowski, Structure spaces of maximal l-ideals of lattice-ordered rings, Ord. Alg. Struct. (Gainesville, 2001), J. Martinez (Ed), Kluwer Acad. Publ., (2002), 261-274.

(10) J. Ma, P. Wojciechowski, A proof of Weinberg's conjectrure on lattice-ordered matrix algebras, Proc. Amer. Math. Soc, 130 (2002), 2845-2851.

(9) J. Ma, P. Wojciechowski, Lattice orders on matrix algebras, Algebra Univers. 47 (2002), 435-441.

(8) J. Ma, Quotient rings of lattice-ordered Ore rings, Inter. Math. J. 1 (2002), 483-490.

(7) J. Ma, Lattice-ordered matrix algebras with the usual lattice order, J. Algebra 228 (2000), 406-416.

(6) J. Ma, P. Wojciechowski, F* rings are O*, Order 17 (2000), 125-128.

(5) J. Ma, The quotient ring of a class of lattice-ordered Ore domains, Algebra Univers. 44 (2000), 299-304.

(4) J. Ma, On lattice-ordered rings with chain conditions, Comm. Algebra 25 (1997), 3483-3495.

(3) J. Ma, Lattice-ordered rings with f-elements that have zero annihilators, J. Math. Res. Exposition 14 (1994), 455-460.

(2) J. Ma, The unitability of l-prime lattice-ordered rings with squares positive, Proc. Amer. Math. Soc. 121 (1994), 991-997.

(1) J. Ma, On the lattice-ordered rings with polynomial constraints, J. Math. Res. Exposition 11 (1991), 325-331.