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Paper Information

Journal:   INTERNATIONAL JOURNAL OF GROUP THEORY   SEPTEMBER 2012 , Volume 1 , Number 3; Page(s) 33 To 37.
 
Paper: 

ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS

 
 
Author(s):  MIREBRAHIMI H.*, MASHAYEKHY BEHROOZ
 
* DEPARTMENT OF PURE MATHEMATICS, CENTER OF EXCELLENCE IN ANALYSIS ON ALGEBRAIC STRUCTURES, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
 
Abstract: 
Recently, the authors gave some conditions under which a direct product of finitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V. In this paper, we extend this fact to any infinite direct product of groups. Moreover, we conclude some results for V-capability of direct products of infinitely many groups in varieties of abelian, nilpotent and polynilpotent groups.
 
Keyword(s): CAPABLE GROUP, DIRECT PRODUCT, VARIETY OF GROUPS, V-CAPABLE GROUP, DIRECT LIMIT
 
 
References: 
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Click to Cite.
APA: Copy

MIREBRAHIMI, H., & MASHAYEKHY, B. (2012). ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 1(3), 33-37. https://www.sid.ir/en/journal/ViewPaper.aspx?id=272910



Vancouver: Copy

MIREBRAHIMI H., MASHAYEKHY BEHROOZ. ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY. 2012 [cited 2021May14];1(3):33-37. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272910



IEEE: Copy

MIREBRAHIMI, H., MASHAYEKHY, B., 2012. ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, [online] 1(3), pp.33-37. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272910.



 
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