Results 31 to 40 of about 49 (48)
Groupoid Graded Semisimple Rings [PDF]
We develop the theory of groupoid graded semisimple rings. Our rings are neither unital nor one-sided artinian. Instead, they exhibit a strong version of having local units and being locally artinian, and we call them $Γ_0$-artinian.
Cristiano, Zaqueu +2 more
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, 1987 Thesis (M.Sc.)-University of Durban-Westville, 1987.The Wedderburn-Artin Theorem (1927) characterised semisimple Artinian rings as finite direct products of matrix rings over division rings.
Francis, Donald Nicholas.
core
A constructive proof of the Wedderburn-Artin theorem [PDF]
In this paper, we use the idempotent decomposition to give an explicit isomorphism from an arbitrary semisimple Artinian ring to an external direct sum of finitely many full matrix rings over division rings.4 ...
Gao, Sheng
core +1 more source
On right pure semisimple hereditary rings and an Artin problem [PDF]
Journal of Pure and Applied Algebra, 1995 The pure semisimplicity conjecture (pssR) stated below is studied in the paper mainly for hereditary rings R. One of our main results is Theorem 3.6 containing various conditions which are equivalent to the conjecture (pssR) for hereditary rings R.
exaly +2 more sources
Some of the next articles are maybe not open access.
Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem
Communications in Algebra, 2018Mahmood Behboodi, M R Vedadi
exaly
Prime virtually semisimple modules and rings
Communications in Algebra, 2019Mahmood Behboodi, Ebrahim Bigdeli
exaly
The Structure of Semisimple Algebras: The Artin–Wedderburn Theorem
Springer Undergraduate Mathematics Series, 2018Karin Erdmann +2 more
exaly
Several Generalizations of the Wedderburn-Artin Theorem with Applications
Algebras and Representation Theory, 2017Mahmood Behboodi +2 more
exaly