Classifying monoids by quasi-annihilator (homo)flatness of their right Rees factors
Commun. Korean Math. Soc.
Published online April 8, 2020
Reza Aminizadeh, Hamid Rasouli, and Abolfazl Tehranian
Science and Research Branch, Islamic Azad University, Tehran, Iran
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 quasiannihilator (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
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