6 papers · 1 filter
Additive Unit Representations in Endomorphism Rings and an Extension of a result of Dickson and Fuller
Pedro A. Guil Asensio, Ashish K. Srivastava
A module is called automorphism-invariant if it is invariant under any automorphism of its injective hull. Dickson and Fuller have shown that if is a finite-dimensional algebra…
Rings and modules which are stable under automorphisms of their injective hulls
Noyan Er, Surjeet Singh, Ashish K. Srivastava
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring) is right self-injective if is invariant under automorphisms of its i…
Decomposing elements of a right self-injective ring
Feroz Siddique, Ashish K. Srivastava
It was proved independently by both Wolfson [An ideal theoretic characterization of the ring of all linear transformations, Amer. J. Math. 75 (1953), 358-386] and Zelinsky [Every L…
Dual automorphism-invariant modules
S. Singh, Ashish K. Srivastava
A module is called an automorphism-invariant module if every isomorphism between two essential submodules of extends to an automorphism of . This paper introduces the no…
Rings of Invariant Module Type and Automorphism-Invariant Modules
Surjeet Singh, Ashish K. Srivastava
A module is called automorphism-invariant if it is invariant under any automorphism of its injective hull. In [Algebras for which every indecomposable right module is invariant in…
Shorted Operators Relative to a Partial Order in a Regular Ring
Brian Blackwood, S. K. Jain, K. M. Prasad +1
In this paper, the explicit form of maximal elements, known as shorted operators, in a subring of a von Neumann regular ring has been obtained. As an application of the main theore…