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- W3210318309 abstract "Let R be a non trivial finite commutative ring with identity and G be a non trivialgroup. We denote by P(RG) the probability that the product of two randomly chosenelements of a finite group ring RG is zero. We show that P(RG) <0.25 if and only ifRG is not isomorphic to Z2C2, Z3C2, Z2C3. Furthermore, we give the upper bound and lower bound forP(RG). In particular, we present the general formula for P(RG), where R is a finite field ofcharacteristic p and |G| ≤ 4." @default.
- W3210318309 created "2021-11-08" @default.
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- W3210318309 date "2021-10-25" @default.
- W3210318309 modified "2023-09-27" @default.
- W3210318309 title "On the probability of zero divisor elements in group rings" @default.
- W3210318309 doi "https://doi.org/10.22108/ijgt.2021.126694.1664" @default.
- W3210318309 hasPublicationYear "2021" @default.
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