Strongly and solidly ω1-weak pω·2+n-projective abelian p-groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 71. DOI: 10.17223/19988621/71/1

Strongly and solidly ω1-weak pω·2+n-projective abelian p-groups

We define the classes of strongly ω1-weak pω·2+n-projective, solidly ω1-weak pω·2+n-projective and nicely ω1-weak pω·2+n-projective abelian p-groups and study their crucial properties. This continues our recent investigations of this branch, published in Hacettepe J. Math. Stat. (2013) and Bull. Malaysian Math. Sci. Soc. (2014), respectively.

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Keywords

S-cyclic groups, pω+n-projective groups, ω1-pω·2+n-projective groups, strongly ω1-pω+n-projective groups

Authors

NameOrganizationE-mail
Danchev Peter V.Institute of Mathematics and Informatics, Bulgarian Academy of Sciencespvdanchev@yahoo.com ; danchev@math.bas.bg
Всего: 1

References

Danchev P.V. (2009) On primary abelian groups modulo finite subgroups. Communications in Algebra. 37. pp. 933-947.
Danchev P.V. (2014) On strongly and separably o1-p“+n-projective abelian p-groups. Hacettepe Journal of Mathematics and Statistics. 43. pp. 51-64.
Danchev P.V. (2014) On o1-weakly pa-projective abelian p-groups. Bulletin of the Malaysian Mathematical Sciences Society. 37. pp. 1057-1074.
Danchev P.V. (2015) On nicely and separately o1-p“+n-projective abelian p-groups. Mathematical Reports. 17. pp. 91-105.
Danchev P.V. and Keef P.W. (2009), Generalized Wallace theorems. Mathematica Scandinavica. 104. pp. 33-50.
Danchev P.V. and Keef P.W. (2011) An application of set theory to o + n-totally pm+n-projective primary abelian groups. Mediterranean Journal of Mathematics. 8. pp. 525-542.
Fuchs L. (1970, 1973) Infinite Abelian Groups. Vol. I and II. New York: Academic Press.
Griffith P. (1970) Infinite Abelian Group Theory. Chicago: University of Chicago Press.
 Strongly and solidly ω1-weak p<sup>ω·2+n</sup>-projective abelian <i>p</i>-groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 71. DOI: 10.17223/19988621/71/1

Strongly and solidly ω1-weak pω·2+n-projective abelian p-groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 71. DOI: 10.17223/19988621/71/1

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