Semivarieties and subfunctors of the identity functor

S. A. Huq

Vol. 29 (1969), No. 2, 303–309

DOI: 10.2140/pjm.1969.29.303

Abstract

We study certain subcategories called semivarieties and obtain Kaplanasky’s theorem on the decomposition of Abelian groups into a divisible group and a reduced group under the frame-work of category theory; We also investigate the connection of these epicoreflective subcategories with varieties.

Mathematical Subject Classification

Primary: 18.10

Milestones

Received: 23 February 1968

Published: 1 May 1969