43
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Free modules with two distinguished submodules

, &
Pages 3473-3481 | Received 01 May 1995, Published online: 27 Jun 2007

References

  • Arnold , D. 1989 . Representations of partially ordered sets and abelian groups . in Abelian Group Theory, Proc. Perth Conf. 1987, Contemporary Math , 87 : 91 – 109 .
  • Arnold , D.M. and Dugas . 1993 . Butler groups with finite type sets and free groups with distinguished subgroups . Comm. in Algebra , 21 : 1947 – 1982 .
  • Atiyah , M. F. and MacDonald , I. G. 1969 . Introduction to Commutative Alge¬bra , London : Addison-Wesley .
  • Bottinger , C.R. and Gobel . 1991 . Endomorphism algebras of modules with dis¬tinguished partially ordered subrnodules over commutative rings . J. Pure Appl. Algebra , 76 : 121 – 141 .
  • Bottinger , C. and Gobel , R. 1991 . Modules with two distinguished submodules . Abelian Groups Proc. Conf. Curacao , 76 : 97 – 104 .
  • Corner , A.L.S. 1969 . Endomorphism algebras of large modules with distin¬guished submodules . J. Algebra , 11 : 155 – 185 .
  • A. L. S , Corner . 1989 . Fully rigid systems of modules . Rend. Sem. Mat , 82 : 55 – 66 .
  • A. L. S , Corner and Gobel , R. 1985 . Prescribing endomorphism algebras, a unified treatment . Proc. London Math. Soc , 50 : 447 – 479 .
  • Dugas , M.R. and . Gobel . 1982 . Every cotorsion-free algebra is an endomorphism algebra . Math. Z , 181 : 451 – 470 .
  • Dugas , M.R. and Gobel . 1994 . Automorphism groups of fields . manuscripta math , 85 : 227 – 242 .
  • Dugas , M. and Gobel , R. 1997 . Endomorphism rings of ZVgroups of infinite rank
  • Dugas , M.B. and Thome . 1991 . Countable Butler groups and vector spaces with four distinguished subspaces . J. Algebra , 138 : 249 – 272 .
  • Eklof , P.A. and Mekler . 1990 . Almost Free Modules, Set-Theoretic Methods , North-Holland : Amsterdam .
  • Files , S. and Gobel , R. 1997 . Gaufi’ theorem for two submodules, Mathematische Zeitschrift
  • Franzen , B. and Gobel , R. 1987 . The Brenner-Butler-Corner theorem and its ap¬plications to modules, in Abelian Group Theory , 209 – 227 . London : Gordon and Breach .
  • Gobel , R. 1991 . Modules with distinguished submodules and their endomorphism algebras . Abelian Groups Proc. Conf. Curasao , : 55 – 64 .
  • Gobel , R. and May , W. 1990 . Four submodules suffice for realizing algebras over commutative rings . J. Pure Appl. Algebra , 65 : 29 – 43 .
  • Gobel , R. and May , W. 1989 . Independence in completions and endomorphism algebras . Forum Math , 1 : 215 – 226 .
  • Kaplansky . 1971 . Infinite Abelian Groups , The University of Michigan Press .
  • May , W. 1991 . Endomorphisms of valuated torsion-free modules, in Abelian Groups . Proc. Conf. Curagao , : 201 – 207 .
  • Ringel , C. M. 1979 . Infinite-dimensional representations of finite-dimensional hereditary algebras . Sympos. Math , 23 : 321 – 412 .
  • Ringel , C. M. 1984 . Tame Algebras and Integral Quadratic Forms . Lecture Notes in Mathematics , 1099
  • Ringel , C. M. and Tachikawa , H. 1975 . QF-3 rings . J. Reine Angew. Math , 272 : 49 – 72 .
  • Sharpe , D. W. and Vamos , P. 1972 . Injective Modules , London : Cambridge University Press .
  • Shelah , S. 1974 . Infinite abelian groups, Whitehead problem and some construc¬tions . Israel J. Math , 18 : 243 – 256 .
  • Simson , D. 1974 . Functor categories in which every flat object is projective . Bull. Acad. Polon. Ser. Math , 22 : 375 – 380 .
  • Simson , D. 1992 . Linear Representations of Partially Ordered Sets and Vector Space Categories , London : Gordon and Breach .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.