Classifying monoids by quasi-annihilator (homo)flatness of their right Rees factors

In this paper, the class of quasi-annihilator (homo)flat acts based on the notion of quasi-annihilator ideal is introduced. This class lies strictly between the classes of weakly (homo)flat and principally weakly (homo)flat acts. Some properties of such kinds of flatness are studied. We present some...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2020, 35(3), , pp.697-709
Hauptverfasser: Reza Aminizadeh, Hamid Rasouli, Abolfazl Tehranian
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Sprache:eng
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Zusammenfassung:In this paper, the class of quasi-annihilator (homo)flat acts based on the notion of quasi-annihilator ideal is introduced. This class lies strictly between the classes of weakly (homo)flat and principally weakly (homo)flat acts. Some properties of such kinds of flatness are studied. We present some homological classifications for monoids by means of quasi-annihilator (homo)flatness of their right Rees factor acts. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c190317