Alfred Michael Emmerson

The Critical Number of Finite Abelian Groups Michael Freeze and Weidong Gao and Alfred Geroldinger

Abstract. Let G be an additive, finite abelian group. The critical number cr(G) of G is the smallest positive integer l such that for every subset S ⊂ G \ {0} with |S| ≥ l the following holds: Every element of G can be written as a nonempty sum of distinct elements from S. The critical number was first studied by P. Erdős and H. Heilbronn in 1964, and due to the contributions of many authors th...

Alfred Goldberg

system, where non-sexualised images, e.g. from clothes ads or even from nudist beaches get the green light, erotic posing counts as amber, and material focusing on genitals or actual acts of child abuse gets the red light. “We train the patient to move only in the green area,” Ahlers told the paper. “Amber means: Caution! Potential danger for children and for myself! Risky behaviour on the verg...

Alfred Sheen

Alfred Adler

By Phyllis Bottome. Faber & Faber, Ltd. Price 10s. 6d. net. This is the third appreciation of Adler published in England since his death at Aberdeen in August, 1937. It is written by a well-known novelist who, with her husband, was in close touch with Adler and his family for the last ten years of his life. It is the most intimate account yet available in English and gives many personal details...

Model Completeness for Trivial, Uncountably Categorical Theories of Morley Rank 1 Alfred Dolich, Michael C. Laskowski, and Alexander Raichev

We use this theorem to derive the same corollaries for the theories covered by the theorem as were derived for the strongly minimal case in [2]. We also note that the theorem is in some senses optimal. Specifically we can easily construct trivial Morley Rank 1 theories which are not categorical and for which the conclusion of the theorem fails. Also Marker in [3] constructs trivial totally cate...