منابع مشابه
The Jacobson Density Theorem and Applications
1.1. Strictly Cyclic Modules and Modular Right Ideals. For a ring A with identity, cyclic modules are precisely those of the form a\A where a is a right ideal. What might be a useful analogous statement for a ring without identity? This question motivates what follows in this subsection. A module M is strictly cyclic if there exists m in M such that mA = M (such an m is called a generator); a r...
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In [1] (Hybrid Conjugate Gradient Algorithm for Unconstrained Optimization J. Optimization. Theory Appl. 141 (2009) 249 - 264), an efficient hybrid conjugate gradient algorithm, the CCOMB algorithm is proposed for solving unconstrained optimization problems. However, the proof of Theorem 2.1 in [1] is incorrect due to an erroneous inequality which used to indicate the descent property for the s...
متن کاملA Descent Theorem in Topological K-Theory
4. Strategy of the proof. The first step is to remark the following basic fact : if Y is the product X x X with the action of G switching the factors, Y may be identified with the space of maps from EG to X, a space which is homotopically equivalent to X, since EG is contractible. 1This theorem is well known if A is the Banach algebra of real numbers : cf. [2], lemma 3.5 for instance. Other pro...
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but with the convergence only valid in sufficiently high degrees. Here the coefficient sheaves are Tate twists of the `-adic integers, and are to be interpreted as zero if q is odd. Throughout this paper, étale cohomology is continuous étale cohomology [19], and the indicated abutment of the spectral sequence consists of the homotopy groups of the Bousfield `-adic completion of the spectrum KX,...
متن کاملAlec Jacobson Teaching Statement
My passion for teaching began early. Throughout high school and college, I tutored English to African immigrants. Later, while student teaching remedial and gifted-and-talented mathematics at a New York City public middle school, I realized the diversity of how students learn. Some students thrive off interactive lectures, while others do not fully digest a lecture until working out examples at...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1983
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1983.104.495