Primary abelian almost \(n\text {-}\Sigma \) -groups

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• 作者：Peter V. Danchev
• 关键词：Almost $$\Sigma $$ 危 ; cyclic groups ; Almost dsc groups ; Almost $$p^{\omega +n}$$ p 蠅 + n ; projective groups ; Almost $$\Sigma $$ 危 ; groups ; 20K10
• 刊名：Ricerche di Matematica
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：64
• 期：1
• 页码：1-7
• 全文大小：366 KB
• 参考文献：1.Balof, B.A., Keef, P.W.: Invariants on primary abelian groups and a problem of Nunke. Note Mat. 29, 83鈥?14 (2009)MATH MathSciNet
  2.Danchev, P.V.: Note on elongations of summable \(p\) -groups by \(p^{\omega +n}\) -projective \(p\) -groups II. Rend. Istit. Mat. Univ. Trieste 39, 387鈥?94 (2007)MATH MathSciNet
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  5.Danchev, P.V.: On extensions of primary almost totally projective groups. Math. Bohemica 133, 149鈥?55 (2008)MATH MathSciNet
  6.Danchev, P.V.: Primary abelian \(n\) -\(\Sigma \) -groups revisited. Math. Pannonica 22, 85鈥?3 (2011)MATH MathSciNet
  7.Danchev, P. V.: On almost \({\omega }_1-p^{\omega +n}\) -projective abelian \(p\) -groups, to appear.
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  15.Hill, P.D., Ullery, W.D.: Almost totally projective groups. Czechoslovak Math. J. 46, 249鈥?58 (1996)MATH MathSciNet
  
• 作者单位：Peter V. Danchev (1)
  
  1. Department of Mathematics, Plovdiv State University 鈥淧. Hilendarski鈥? 4000聽, Plovdiv, Bulgaria
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebra
  Analysis
  Geometry
  Numerical Analysis
  Probability Theory and Stochastic Processes
  
• 出版者：Springer Milan
• ISSN：1827-3491

文摘

We define the class of \(p\)-primary abelian almost \(n\)-\(\Sigma \)-groups and study their basic properties. One of the main results is that almost \(\Sigma \)-groups are almost \(p^{\omega +1}\)-projective exactly when they are almost dsc groups of length less than or equal to \(\omega +1\). Some other characterizations of this new group class are also established.