EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 92(106), pp. 109–115 (2012)

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NOTE ON A QUESTION OF REINHOLD BAER ON PREGROUPS II

Anthony M. Gaglione, Seymour Lipschutz, and Dennis Spellman

Department of Mathematics,U.S. Naval Academy, Annapolis, MD 21402, USA; Department of Mathematics, Temple University, Philadelphia, PA 19122, USA Department of Statistics, Temple University, Philadelphia, PA 19122, USA

Abstract: Reinhold Baer asked the relationship between certain properties in a nonempty set $P$ with a partial operation (called an "add" by Baer [1]). The first paper in our sequence [Paper I] answered his question for a special type of an add called a pregroup by Stallings [12]. This paper [Paper II] answers an analogous question for a wider class of adds.

Classification (MSC2000): 20K06

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