PRESERVING INJECTIVE PROPERTIES OF ACTS OVER MONOIDS UNDER LIMITS AND THEIR TRANSFER FROM COLIMITS TO THE COMPONENTS

Authors

  • Mojtaba Sedaghatjoo Persian Gulf University - Department of Mathematics
  • Salimeh Dehghani Persian Gulf University - Department of Mathematics

Keywords:

Limit, colimit, product, coproduct, injective act

Abstract

This paper is devoted to the preservation of injective properties under limits and their transfer from colimits to the components.  We prove that an injective property α is preserved under limits if and only if all acts satisfy property α.  Besides we prove that an injective property α is transferred from colimits to their components if and only if all acts satisfy property α.

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Published

2017-07-31

How to Cite

Sedaghatjoo, M., & Dehghani, S. (2017). PRESERVING INJECTIVE PROPERTIES OF ACTS OVER MONOIDS UNDER LIMITS AND THEIR TRANSFER FROM COLIMITS TO THE COMPONENTS. Italian Journal of Pure and Applied Mathematics, 37, 1–7. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6840

Issue

Section

Articoli - Forum Editrice

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