Majorizing-injectivity in abelian lattice-ordered groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 69 (1983), pp. 181-194.
@article{RSMUP_1983__69__181_0,
     author = {Hager, Anthony W. and Madden, James J.},
     title = {Majorizing-injectivity in abelian lattice-ordered groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {181--194},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {69},
     year = {1983},
     mrnumber = {716993},
     zbl = {0523.06022},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1983__69__181_0/}
}
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Hager, Anthony W.; Madden, James J. Majorizing-injectivity in abelian lattice-ordered groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 69 (1983), pp. 181-194. http://www.numdam.org/item/RSMUP_1983__69__181_0/

[AC] M. Anderson - P. Conrad, Epicomplete l-groups, Algebra Universalis, to appear. | MR | Zbl

[A] E.R. Aron, Embedding lattice-ordered algebras in uniformly closed algebras, Doctoral thesis, University of Rochester, 1971.

[AHM] E.R. Aron - A.W. Hager - J.J. Madden, Extension of l-homomorphisms, Rocky Mt. J. Math., 12 (1982), 481-490. | MR | Zbl

[B1] P. Bacsich, An epireflector for universal theories, Canad. Math. Bull., 16 (1973), pp. 167-171. | MR | Zbl

[B2] B. Banaschewski, Projective covers in categories of topological spaces and topological algebras, Proc. Topology Conf. Kanpur 1968; Gen. Top. and Its Applications to Modern Analysis and Algebra, Academia, Prague, 1971. | MR | Zbl

[B3] B. Banaschewski, Injectivity and essential extensions in equational classes of algebras, Proc. Conf. Universal Algebra, 1969; Queen's Papers in Pure and Applied Mathematics, no. 25, Queen's Univ., Kingston, Ontario, 1970. | MR | Zbl

[BS] J.L. Bell - A.B. Slomson, Models and ultraproducts, North-Holland, Amsterdam, 1969. | MR | Zbl

[BKW] A. Bigard - K. Keimel - S. Wolfenstein, Groupes et Anneaux Réticulés, Lecture Notes in Math. 608, Springer-Verlag, Berlin-Heidelberg-New York, 1977. | MR | Zbl

[B 4] G. Birkhoff, Lattice Theory, Third Edition, Amer. Math. Soc. Colloq. Publ. 25, New York, 1968. | Zbl

[C] P. Conrad, The essential closure of an archimedean lattice-ordered group, Duke Math. J., 38 (1971), pp. 151-160. | MR | Zbl

[HM] A. Hager - J.J. Madden, Algebraic classes of abelian torsion-free and lattice-ordered groups, to appear. | MR | Zbl

[J] N. Jacobson, Basic Algebra II, Freeman and Co., San Francisco, 1980. | MR | Zbl

[L 1] Z. Lipecki, Extensions of positive operators and extreme points, II, Colloq. Math., 42 (1979), pp. 285-289. | MR | Zbl

[L2] Z. Lipecki, Extension of vector-lattice homomorphisms, Proc. Amer. Math. Soc., 79 (1980), pp. 247-248. | MR | Zbl

[LS] W.A.J. Luxemburg - A.R. Schep, An extension theorem for Riesz homorphisms, Nederl. Akad. Wetensch., Ser. A, 82 (1979), pp. 145-154. | MR | Zbl

[M] J. Martinez, Free products in varieties of lattice-ordered groups, Czech. Math. J., 22 (1972), pp. 535-553. | MR | Zbl

[P1] K.R. Pierce, Amalgamations of lattice-ordered groups, Trans. Amer. Math. Soc., 172 (1972), pp. 249-260. | MR | Zbl

[P2] K.R. Pierce, Amalgamated sums of abelian l-groups, Pacific J. Math., 65 (1976), pp. 167-173. | MR | Zbl

[P3] N. Popa, Obiecte injective in categoriá spatiilor ordonate archimediene cu elemente axiale, St. Cerc. Math., Tom. 17, pp. 1333-1336. | MR | Zbl

[W] E.C. Weinberg, Relative injectives and universals for ordered algebraic structures, unpublished manuscript, 1969.

[V] A. Veksler, On a new construction of Dedekind completion of vector lattice and l-groups with division, Siberian Math. J. (Plenum translation), 10 (1969), pp. 891-896. | MR | Zbl