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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 3–8
(Mi ivm7859)
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This article is cited in 2 scientific papers (total in 2 papers)
Fully idempotent homomorphisms
A. N. Abyzov Chair of Algebra and Mathematical Logics, Kazan State University, Kazan, Russia
Abstract:
For arbitrary modules $A$ and $B$ we introduce and study the notion of a fully idempotent $\operatorname{Hom}(A,B)$. As a corollary we obtain some well-known properties of fully idempotent rings and modules.
Keywords:
fully idempotent ring, fully idempotent module, quasi-projective module, quasi-injective module.
Received: 19.05.2010
Citation:
A. N. Abyzov, “Fully idempotent homomorphisms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 3–8; Russian Math. (Iz. VUZ), 55:8 (2011), 1–6
Linking options:
https://www.mathnet.ru/eng/ivm7859 https://www.mathnet.ru/eng/ivm/y2011/i8/p3
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Abstract page: | 333 | Full-text PDF : | 196 | References: | 46 | First page: | 11 |
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