Semiprime SF-rings whose essential left ideals are two-sided.
Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
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Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
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Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Zaks, Abraham (1973)
Portugaliae mathematica
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Haily, A., Rahnaoui, H. (2007)
International Journal of Mathematics and Mathematical Sciences
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Kwak, Tai Keun (2006)
International Journal of Mathematics and Mathematical Sciences
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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.
Yasuyuki Hirano (1994)
Publicacions Matemàtiques
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A ring R is said to be if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.
Carl Faith (1990)
Publicacions Matemàtiques
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In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring R is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.
Ashish K. Srivastava (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article presents a brief survey of the work done on rings generated by their units.