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SM ISO690:2012 ABDUL-KAREEM, Shaymaa Amer, ABDULKAREEM, Ahmed A.. Applications of ∩ -large pseudo N-injective acts in quasi-Frobenius monoid theory and its relationship with some classes of injectivity. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 181-191. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.16 |
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Quasigroups and Related Systems | ||||||
Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v30.16 | ||||||
CZU: 510.67+512.531.4 | ||||||
Pag. 181-191 | ||||||
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The aim of this paper is to review thoroughly the applications of ∩ -large pseudo N-injective acts in quasi-Frobenius monoid theory, and therefore, the relationship of ∩ -large pseudo N-injective acts with some class of injectivity is studied. Applications of the properties of ∩ -large pseudo injective acts in quasi-Frobenius monoid theory are proven. Also, it’s proved that the subsequent parity, every union (direct sum) of the two ∩ -large pseudo injective acts is a ∩ -large pseudo injective act if and only if every ∩ -large pseudo injective act is injective under Noetherian condition for a right monoid S. Additionally, we proved that the category of strongly ∩ -large pseudo N-injective right S-acts are going to be egalitarian to the category of projective right S-acts under monoid conditions. The connections between quasi injective and ∩ -large pseudo injective acts are investigated. |
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