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, (submitted)

(57) J. Ma, Partially ordered fields and integral domains, Order, (accepted).

(56) J. Ma, Directed partial orders on complex numbers and quaternions, Journal of Algebra and Its Applications (online: https://doi.org/10.1142/S0219498825501890).

(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.