Classifying monoids by quasi-annihilator (homo)flatness of their right Rees factors
Commun. Korean Math. Soc. 2020 Vol. 35, No. 3, 697-709
Published online July 5, 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
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