On m-ω1-pω+n - projective abelian p-groups

• Autorzy: Danchev P.
• Języki publikacji: EN

Abstrakty

EN

For any non-negative integers m and n, we define the classes of m-ω1-pω+n -projective groups and strongly m-ω1-pω+n -projective groups, which properly encompass the classes of ω1-pω+n -projectives introduced by Keef in J. Algebra Numb. Th. Acad. (2010) and strongly ω1-pω+n -projectives introduced by the present author in Hacettepe J. Math. Stat. (2014), respectively. The new group structures share many interesting properties, which are closely related to these of the aforementioned two own subclasses. Moreover, certain basic results in this direction are also established.

Słowa kluczowe

EN

pω+n-projective groups; ω1-pω+n-projective groups; strongly ω1-pω+n-projective groups; countable subgroups; nice subgroups; Ulm subgroups; Ulm factors; abelian groups

PL

grupa projektowa; podgrupy policzalne; podgrupy Ulma; czynniki Ulma; grupa abelowa; algebra abstrakcyjna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 4
• Strony: 805--825
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Danchev P.

• Department of Mathematics Plovdiv State University “P. Hilendarski”, Plovdiv 4000, Bulgaria

Bibliografia

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• [3] P. Danchev, On strongly and separably ω1-pω+n-projective abelian p-groups, Hacet. J. Math. Stat. 43(1) (2014), 51–64.
• [4] P. Danchev, On nicely and separately ω1-pω+n-projective abelian p-groups, Math. Reports, to appear (2015).
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