A weak periodicity condition for rings
Autor: | Adil Yaqub, Hazar Abu-Khuzam, Howard E. Bell |
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Jazyk: | angličtina |
Rok vydání: | 2005 |
Předmět: |
Pure mathematics
Ring (mathematics) lcsh:Mathematics 010102 general mathematics Mathematics::Rings and Algebras Center (group theory) Jacobson radical 16. Peace & justice lcsh:QA1-939 01 natural sciences 010101 applied mathematics Nilpotent Mathematics (miscellaneous) Idempotent element 0101 mathematics Element (category theory) Commutative property Mathematics |
Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 9, Pp 1387-1391 (2005) |
ISSN: | 1687-0425 0161-1712 |
Popis: | A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such rings, we investigate their commutativity behavior. |
Databáze: | OpenAIRE |
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