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 Classifying monoids by quasi-annihilator (homo)flatness of their right Rees factors Commun. Korean Math. Soc. 2020 Vol. 35, No. 3, 697-709 https://doi.org/10.4134/CKMS.c190317Published online April 8, 2020Printed July 31, 2020 Reza Aminizadeh, Hamid Rasouli, Abolfazl Tehranian Islamic Azad University; Islamic Azad University; Islamic Azad University Abstract : 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. Keywords : $S$-act, quasi-annihilator ideal, quasi-annihilator (homo)flat act, quasi-annihilator ideally connected monoid MSC numbers : 20M30, 20M50, 18B40 Downloads: Full-text PDF   Full-text HTML