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Sequentially pure monomorphisms of acts over semigroups

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2008

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
Any notion of purity is normally defined in terms of solvability of some set of equations. In this paper we first take this point of view to introduce a kind of purity, called sequential purity, for acts over semigroups (which is of some interest to computer scientists, too), and then show that it is actually equivalent to Cp-purity resulting from a closure operator. The main objective of the paper is to study properties of the category of all acts over a semigroup with respect to sequentially pure monomorphisms. These properties are usually needed to study the homological notions, such as injectivity, of acts.
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  • 4
41-55
  • English

REFERENCES

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