Results 1 to 10 of about 30 (29)
On right pure semisimple hereditary rings and an Artin problem
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.
Daniel Simson
exaly +2 more sources
An Artin problem for division ring extensions and the pure semisimplicity conjecture I
Archiv der Mathematik, 1996 The author builds on his work in part I [Arch. Math. 66, No. 2, 114-122 (1996; Zbl 0873.16010)] which in turn extends ideas of \textit{P. M. Cohn} [Proc. Lond. Math. Soc., III. Ser. 11, 531-556 (1961; Zbl 0104.03301)] and \textit{A. H. Schofield} [Representation of rings over skew fields, Lond. Math. Soc. Lect. Note Ser.
openaire +3 more sources
, 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.
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Class Notes for Math 901/902: Abstract Algebra, Instructor Tom Marley
, 2010 Topics include: Free groups and presentations; Automorphism groups; Semidirect products; Classification of groups of small order; Normal series: composition, derived, and solvable series; Algebraic field extensions, splitting fields, algebraic closures ...
Lynch, Laura
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Groupoid Graded Semisimple Rings
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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A constructive proof of the Wedderburn-Artin theorem
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
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Clifford Algebras Meet Tree Decompositions. [PDF]
Algorithmica, 2019 Włodarczyk M.
europepmc +1 more source
ON A WEDDERBURN-ARTIN STRUCTURE THEORY OF A POTENT SEMIRING. [PDF]
Proc Natl Acad Sci U S A, 1957 Bourne S, Zassenhaus H.
europepmc +1 more source
AN EXTENSION OF THE MAXWELL THEORY. [PDF]
Proc Natl Acad Sci U S A, 1955 Ingraham RL.
europepmc +1 more source
Finiteness properties of automorphism spaces of manifolds with finite fundamental group. [PDF]
Math AnnBustamante M, Krannich M, Kupers A.
europepmc +1 more source