دوره 19، شماره 2 - ( 7-1403 )
جلد 19 شماره 2 صفحات 194-189 |
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Abdollahi A, Soleimani Malekan M. A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups. IJMSI 2024; 19 (2) :189-194
URL: http://ijmsi.ir/article-1-2047-fa.html
URL: http://ijmsi.ir/article-1-2047-fa.html
A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups. مجله علوم ریاضی و انفورماتیک. 1403; 19 (2) :189-194
چکیده:
It is proved that if $sum_{gin G} a_g g$ is a non-zero zero divisor element of the complex group algebra $mathbb{C}G$ of a torsion-free group G then $2sum_{gin G} |a_g|^2<big( sum_{gin G} |a_g|big)^2$.
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