Finite unitary rings with a single subgroup of prime order of the group of units

DOI10.1142/S0219498821502340zbMath1494.16021arXiv2001.01058MaRDI QIDQ5024538

Mostafa Amini, Mohsen Amiri

Publication date: 26 January 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01058

zbMATH Keywords

group of unitsfinite ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Artinian rings having a nilpotent group of units
• A note on the adjoint group of a ring
• NILPOTENCY OF THE GROUP OF UNITS OF A FINITE RING
• FINITE UNITARY RINGS IN WHICH ALL SYLOW SUBGROUPS OF THE GROUP OF UNITS ARE CYCLIC
• Orders for Finite Noncommutative Rings
• Orders for Finite Noncommutative Rings with Unity
• On the Adjoint Group of a Radical Ring
• Group Algebras with Nilpotent Unit Groups
• Rings Having Solvable Adjoint Groups

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