Representation Type of Posets and Finite Rank Butler Groups

• Autorzy: D. Arnold , M. Dugas
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 74
• Numer: 2
• Strony: 299-320

Daty

wydano

1998

otrzymano

1996-11-18

poprawiono

1997-02-26

Twórcy

autor

D. Arnold

• Department of Mathematics, Baylor University, Waco, Texas 76798, U.S.A.

autor

M. Dugas

• Department of Mathematics, Baylor University, Waco, Texas 76798, U.S.A.

Bibliografia

• D. M. Arnold, Finite Rank Torsion-Free Abelian Groups and Rings, Lecture Notes in Math. 931, Springer, New York, 1982.
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• D. M. Arnold and M. Dugas, Block rigid almost completely decomposable groups and lattices over multiple pullback rings, J. Pure Appl. Algebra 87 (1993), 105-121.
• D. M. Arnold and M. Dugas, Butler groups with finite typesets and free groups with distinguished subgroups, Comm. Algebra 21 (1993), 1947-1982.
• D. M. Arnold and M. Dugas, Locally free finite rank Butler groups and near isomorphism, in: Abelian Groups and Modules, Kluwer, Boston, 1995, 41-48.
• D. M. Arnold and M. Dugas, Representations of finite posets and near-isomorphism of finite rank Butler groups, Rocky Mountain J. Math. 25 (1995), 591-609.
• D. M. Arnold and C. Vinsonhaler, Finite rank Butler groups: A survey of recent results, in: Abelian Groups, Lecture Notes in Pure and Appl. Math. 146, Marcel Dekker, New York, 1993, 17-41.
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• M. C. R. Butler, Torsion-free modules and diagrams of vector spaces, ibid. 18 (1968), 635-652.
• M. C. R. Butler, Some almost split sequences in torsion-free abelian group theory, in: Abelian Group Theory, Gordon and Breach, New York, 1987, 291-302.
• M. Dugas and E. Oxford, Near isomorphism invariants for a class of almost completely decomposable groups, in: Abelian Groups, Lecture Notes in Pure and Appl. Math. 146, Marcel Dekker, New York, 1993, 129-150.
• S. Files and R. Goebel, Gauß' theorem for two submodules, submitted for publication, 1996.
• L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press, New York, 1973.
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• V. V. Plahotnik, Representations of partially ordered sets over commutative rings, Math. USSR-Izv. 10 (1976), 497-514.
• F. Richman, Isomorphism of Butler groups at a prime, in: Abelian Group Theory and Related Topics (Oberwolfach, 1993), Contemp. Math. 171, 1994, 333-337.
• D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, Gordon and Breach, Philadelphia, 1992.
• D. Simson, On representation types of module subcategories and orders, Bull. Polish Acad. Sci. Math. 41 (1993), 77-93.
• D. Simson, Socle projective representations of partially ordered sets and Tits quadratic forms with applications to lattices over orders, in: Abelian Groups and Modules, Marcel Dekker, New York, 1996, 73-112.