ON ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPS
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Let n ≥ 0 be an arbitrary integer. We define the classof almost n-simply presented abelian p-groups. It naturally strength-ens all the notions of almost simply presented groups introduced byHill and Ullery in Czechoslovak Math. J. (1996), n-simply presentedp-groups defined by the present author and Keef in Houston J. Math. (2012), and almost ω1-pω+n-projective groups developed by the sameauthor in an upcoming publication [3]. Some comprehensive charac-terizations of the new concept are established such as Nunke-esqueresults as well as results on direct summands and ω1-bijections.
Abstract
Let n ≥ 0 be an arbitrary integer. We define the classof almost n-simply presented abelian p-groups. It naturally strength-ens all the notions of almost simply presented groups introduced byHill and Ullery in Czechoslovak Math. J. (1996), n-simply presentedp-groups defined by the present author and Keef in Houston J. Math. (2012), and almost ω1-pω+n-projective groups developed by the sameauthor in an upcoming publication [3]. Some comprehensive charac-terizations of the new concept are established such as Nunke-esqueresults as well as results on direct summands and ω1-bijections.
참고문헌 (15)
- B. Balof, "Invariants on primary abelian groups and a problem of Nunke", Note Mat, 29(2), pp.83~114 (2009)
- P. Danchev, "On extensions of primary almost totally projective groups", Math. Bohemica, 133(2), pp.149~155 (2008)
- P. Danchev, "On almost w1-pw+n-projective abelian p-groups, accepted", ~
- P. Danchev, "On w1-n-simply presented abelian p-groups, submitted", ~
- P. Danchev, "Generalized Wallace theorems", Math. Scand, 104(1), pp.33~50 (2009)
- P. Danchev, "Nice elongations of primary abelian groups", Publ. Mat, 54(2), pp.317~339 (2010)
- P. Danchev, "An application of set theory to ! + n-totally p!+n- projective primary abelian groups", Mediterr. J. Math, 8(4), pp.525~542 (2011)
- L. Fuchs, "Infinite Abelian Groups, volumes I and II" (1973), Acad. Press
- P. Griffith, "Infinite Abelian Group Theory" (1970), The University of Chicago Press
- P. Hill, "Almost coproducts of nite cyclic groups", Comment. Math. Univ. Carolin, 36(4), pp.795~804 (1995)
- P. Hill, "Isotype separable subgroups of totally projective groups, Abelian Groups and Modules", Proc. Padova Conf., Padova 1994, 343, pp.291~300 (1994), Kluwer Acad. Publ
- P. Hill, "Almost totally projective groups", Czechoslovak Math. J, 46(2), pp.249~258 (1996)
- P. Keef, "On w1-pw+n-projective primary abelian groups", J. Algebra Numb. Th. Acad, 1(1), pp.41~75 (2010)
- P. Keef, "On n-simply presented primary abelian groups", Houston J. Math, 38(4), pp.1027~1050 (2012)
- Patrick W. Keef, "On m,n-balanced projective and m,n-totally projective primary abelian groups", 대한수학회지, 50(2), pp.307~330 (2013), 대한수학회