Certain near-rings are rings. II.
Bell, Howard E. (1986)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On generalized gamma near-fields.”
Certain near-rings are rings. II.
On -rings
Alessandra Cherubini, Ada Varisco (1988)
Czechoslovak Mathematical Journal
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Exchange rings in which all regular elements are one-sided unit-regular
Huanyin Chen (2008)
Czechoslovak Mathematical Journal
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Let be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.
Near-rings with a special condition on idempotents.
Heatherly, H.E., Courville, J.R. (1999)
Mathematica Pannonica
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Semi-simple alternative rings
Kaplansky, Irving (1951)
Portugaliae mathematica
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Idempotents and the multiplicative group of some totally bounded rings
Mohamed A. Salim, Adela Tripe (2011)
Czechoslovak Mathematical Journal
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In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Exchange rings satisfying the related comparability.
Huanyin Chen, Fu-An Li (2002)
Collectanea Mathematica
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In this paper we investigate the related comparability over exchange rings. It is shown that an exchange ring R satisfies the related comparability if and only if for any regular x C R, there exists a related unit w C R and a group G in R such that wx C G.