Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON DIFFERENT KINDS OF INJECTIVITY OF ACTS

  • Received : 2015.10.15
  • Accepted : 2017.09.01
  • Published : 2017.09.25
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Abstract

In this paper we introduce some new kinds of injectivities, namely, LC (resp. Ind, PInd) injectivity and investigate the relation among various kinds of injectivities. Some classifications of monoids by properties of these kinds of injective acts are presented. Among other results, it is shown that over a principal right ideal monoid, right completely LC-injectivity implies right completely injectivity. Also over a monoid with a zero Ind-injective (resp. PInd-injective) acts are injective.

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References

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