On the cotypeset of torsion-free abelian groups

Fatemeh Karimi

Abstract


In this paper the cotypeset of some torsion-free abelian groups of
finite rank is studied. In particular, we determine the cotypeset
of some rank two groups using the elements of their typesets.

Keywords


typeset, cotypeset, type sequence, co-rank

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References


A.M. Aghdam and A. Najafizadeh,On torsion free rings with indecomposable

additive group of rank two, Southeast Asian Bull. Math., 32, No. 2, 2008, 199-208.

D.M. Arnold, Abelian Groups and Representations of Partially Ordered Sets, CMS

Adv. Books Math., Springer-Verlag, New York, 2000.

D. M. Arnold and M. Dugas, Representation type of finite rank almost completely

decomposable groups, Forum Math., 10, 1998, 729-749.

D. M. Arnold and D. Simson, Representations of Finite Posets Over Discrete

Valuation Rings, Comm. Algebra, 35, Issue 10, 2007, 3128-3144.

D.M. Arnold, C. Vinsonhaler,The typesets and cotypesets rank two torsion-free

abelian groups, Pacific J. Math., 114, No. 1, 1984, 1-21.

M. Dugas, BCD-groups with type set (1,2), Forum Mathematicum., 13, 2000,

-148.

L. Fuchs, Infinite abelian groups, Vol. 2, Academic Press, New York - London,

R. S. Lafleur, Typesets and cotypesets of finite-rank torsion-free abelian groups,

Contemp. Math., 171, Amer. Math. Soc., Providence, RI, 1994, 243-256.

C. Metelli, Coseparable torsion-free groups, Arch. Math., 45, 1985, 116-124.

O. Mutzbauer, Type invariants of torsion-free abelian groups, Abelian Group

Theory Proc. Perth, 1987, 133-153.

O. Mutzbauer and E. Solak, (1, 2)−Groups with p

-regulator quotient, J. Algebra,

, 2008, 3821-3831.

P. Schultz, The type-set and cotype-set of a rank two abelian group, Pacific J.

Math., 78, 1978, 503-517.

A.E. Stratton, The type-set of torsion-free rings of finite rank, Comment. Math.

Univ. Sancti Pauli, 27, 1978, 199-211.

R. Warfield, Jr., Homomorphisms and duality of torsion-free groups, J. Algebra,

No. 2, 1983, 380-386.


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