THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS

DOI10.1017/S0004972721001246OpenAlexW4206956431WikidataQ114117691 ScholiaQ114117691MaRDI QIDQ5097521

David Dolžan

Publication date: 25 August 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721001246

zbMATH Keywords

probabilityfinite ringzero divisor

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Conditions on elements (16U99)

Cites Work

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• A classification of finite rings by zero divisors
• What is the probability that two elements of a finite group commute?
• Isoclinism classes and commutativity degrees of finite groups
• On commuting probability of finite rings
• Zero-divisor graphs of non-commutative rings.
• On the commuting probability in finite groups.
• On 'Properties of rings with a finite number of zero divisors'
• The probability that the multiplication of two ring elements is zero
• What is the Probability that Two Group Elements Commute?
• Commutativity in Finite Rings
• Characterization of rings with nullity degree at least 1 4
• Some Supersolvability Conditions for Finite Groups

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