Sequentially injective and complete acts over a semigroup

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SEQUENTIALLY COMPACT S-ACTS

‎‎The investigation of equational compactness was initiated by‎ ‎Banaschewski and Nelson‎. ‎They proved that pure injectivity is‎ ‎equivalent to equational compactness‎. ‎Here we define the so‎ ‎called sequentially compact acts over semigroups and study‎ ‎some of their categorical and homological properties‎. ‎Some‎ ‎Baer conditions for injectivity of S-acts are also presented‎.

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ژورنال

عنوان ژورنال: Journal of Nonlinear Sciences and Applications

سال: 2012

ISSN: 2008-1901

DOI: 10.22436/jnsa.005.05.04