On Algebras and Their Radicals |
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| Authors: | Y. Q. Chen K. P. Shum |
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| Affiliation: | (1) Department of Mathematics, South China Normal University, Guangzhou, 510631, China;(2) Department of Mathematics, Chinese University of Hong Kong Shatin, N.T, Hong Kong, China |
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| Abstract: | In this paper, the concept of Algebras over alternative (Lie, Jordan, respectively) rings is introduced. Some results on the quasi-direct sum of associative rings are extended and generalized. Also, associative Algebras are described by some concrete ring homomorphisms. |
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