Unit sum numbers of right self-injective rings

DOI10.1017/S0004972700039289zbMath1119.16029WikidataQ114117747 ScholiaQ114117747MaRDI QIDQ5297698

Ashish K. Srivastava, Dinesh Khurana

Publication date: 12 July 2007

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

zbMATH Keywords

endomorphism ringsregular ringssums of unitsunit sum numbersright self-injective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (12)

The radius of unit graphs of rings ⋮ Additive unit structure of endomorphism rings and invariance of modules ⋮ Additive Representations of Elements in Rings: A Survey ⋮ Unnamed Item ⋮ A survey of rings generated by units. ⋮ The diameter of unit graphs of rings ⋮ ON THE GIRTH OF THE UNIT GRAPH OF A RING ⋮ Sums of units in self-injective rings ⋮ DECOMPOSING ELEMENTS OF A RIGHT SELF-INJECTIVE RING ⋮ SUMS OF UNITS IN RINGS ⋮ On invertible algebras ⋮ Modules invariant under automorphisms of their covers and envelopes.

Cites Work

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• Rings which are generated by their units
• Perspectivity and cancellation in regular rings
• Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms.
• Two classes of rings generated by their units
• On Continuous Regular Rings and Semisimple Self Injective Rings
• 2-GOOD RINGS
• LEFT COTORSION RINGS
• Endomorphism Rings of Quasi-Injective Modules
• Endomorphism Rings Generated by Units
• On the unit sum number of some rings
• Every Linear Transformation is a Sum of Nonsingular Ones
• Self-injective rings

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