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math.GR2019★ 2 cited
Zero divisors of support size in group algebras and trinomials divided by irreducible polynomials over
Alireza Abdollahi, Zahra Taheri
A famous conjecture about group algebras of torsion-free groups states that there is no zero divisor in such group algebras. A recent approach to settle the conjecture is to show t…
math.GR2017
Zero divisors and units with small supports in group algebras of torsion-free groups
Alireza Abdollahi, Zahra Taheri
We associate a graph to a possible non-zero zero-divisor in the group algebra of a torsion-free group.
math.GR2016★ 2 cited
Kaplansky's zero divisor and unit conjectures on elements with supports of size
Alireza Abdollahi, Zahra Taheri
Kaplansky's zero divisor conjecture (unit conjecture, respectively) states that for a torsion-free group and a field , the group ring has no zero di…