منابع مشابه
Some Comments on Injectivity and P-injectivity
A generalization of injective modules (noted GI-modules), distinct from p-injective modules, is introduced. Rings whose p-injective modules are GI are characterized. If M is a left GI-module, E = End(AM), then E/J(E) is von Neumann regular, where J(E) is the Jacobson radical of the ring E. A is semisimple Artinian if, and only if, every left A-module is GI. If A is a left p. p., left GI-ring su...
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Suppose we are given a pseudo-linearly convex triangle F . In [30], the main result was the construction of totally universal triangles. We show that S (π, ι̃) ∼ { 1 ‖Ī‖ : √ 2 −4 = ⋂ X ( R′ )}
متن کاملOn p-injectivity, YJ-injectivity and quasi-Frobeniusean rings
A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characte...
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Characterizations of quasi-continuousmodules and continuousmodules are given. A non-trivial generalization of injectivity (distinct from p-injectivity) is considered.
متن کاملInjectivity on One Line
Let k be an algebraically closed field of characteristic zero. Let H : k → k 2 be a polynomial mapping such that the Jacobian JacH is a non-zero constant. In this note we prove, that if there is a line l ⊂ k such that H|l : l → k 2 is an injection, then H is a polynomial automorphism. 1. Main result Let k be an algebraically closed field of characteristic zero. Put k = k \ {0}. By Aut k we deno...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Series A I Mathematica
سال: 1983
ISSN: 0066-1953
DOI: 10.5186/aasfm.1983.0811