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Lecture Notes in Mathematics, 1988 Some of the next articles are maybe not open access.
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American Journal of Mathematics, 1943
1. Vector spaces over rings. If R is a ring, we call a set V of elements an R-vector space if its elements form an abelian group under addition and if R is an operator domain on this abelian group, satisfying the usual axiomsnamely the distributive law and the condition that multiplication in the ring is the same as combination of operators.
Artin, Emil, Whaples, George
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1. Vector spaces over rings. If R is a ring, we call a set V of elements an R-vector space if its elements form an abelian group under addition and if R is an operator domain on this abelian group, satisfying the usual axiomsnamely the distributive law and the condition that multiplication in the ring is the same as combination of operators.
Artin, Emil, Whaples, George
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Ring Theory, 1993
A characterization of semiperfect rings and modules, G. Azumaya on universal localizations at semiprime Goldie ideals, J. Beachy strongly and properly semiprime modules and rings, K. Beidar and R. Wisbauer enveloping algebras of infinite dimensional lie algebras and lie superalgebras, J. Bergen primes of skew fields, H.H.
S. K. Jain, S. Tariq Rizvi
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A characterization of semiperfect rings and modules, G. Azumaya on universal localizations at semiprime Goldie ideals, J. Beachy strongly and properly semiprime modules and rings, K. Beidar and R. Wisbauer enveloping algebras of infinite dimensional lie algebras and lie superalgebras, J. Bergen primes of skew fields, H.H.
S. K. Jain, S. Tariq Rizvi
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Mathematical Proceedings of the Cambridge Philosophical Society, 1947
We call a point set in a complex K a 0-cell if it contains just one point of K, and a 1-cell if it is an open arc. A set L of 0-cells and 1-cells of K is called a linear graph on K if(i) no two members of L intersect,(ii) the union of all the members of L is K,(iii) each end-point of a 1-cell of L is a 0-cell of Land (iv) the number of 0-cells and 1 ...
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We call a point set in a complex K a 0-cell if it contains just one point of K, and a 1-cell if it is an open arc. A set L of 0-cells and 1-cells of K is called a linear graph on K if(i) no two members of L intersect,(ii) the union of all the members of L is K,(iii) each end-point of a 1-cell of L is a 0-cell of Land (iv) the number of 0-cells and 1 ...
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On the Theory of Primitive Rings
The Annals of Mathematics, 1947Le Réf. a montré [Bull. Soc. Math. Fr. 70, 46-75 (1942)] que tout anneau simple ayant des idéaux minimaux est isomorphe à un anneau \(\mathfrak F(E, E')\) défini comme suit: \(E\) est un espace vectoriel sur un corps \(K\), \(E'\) un sous-espace du dual de \(E\) tel que \((x, x') = 0\) pour tout \(x' \in E'\) entraîne \(x = 0\), \(\sigma(E, E')\) la ...
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