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characterization of monoids by a generalization of weak flatness property
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نویسنده
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mohammadzadeh saany hossein ,abbasi mahdiyeh
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منبع
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journal of algebraic structures and their applications - 2022 - دوره : 9 - شماره : 2 - صفحه:57 -75
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چکیده
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In [on a generalization of weak flatness property, asian-european journal of mathematics, 14(1) (2021)] we introduce a generalization of weak flatness property, called (wf) ′, and showed that a monoid s is absolutely (wf) ′ if and only if s is regular and satisfies conditions (r(wf)′ ) and (l(wf)′ ). in this paper we continue the characterization of monoids by this property of their (finitely generated, (mono)cyclic, rees factor) right acts. also we give a classification of monoids for which (wf) ′ property of their (finitely generated, (mono)cyclic, rees factor) right acts imply other properties and vise versa. the aim of this paper is to show that the class of absolutely (wf) ′ monoids and absolutely (weakly) flat monids are coincide.
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کلیدواژه
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(wf)′ ,condition (w(wf)′ ) ,condition (r(wf)′ ) ,condition (l(wf)′ ) ,weakly right reversible
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آدرس
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university of sistan and baluchestan, department of mathematics, iran, islamic azad university, zahedan branch, department of mathematics, iran
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پست الکترونیکی
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abbasi.m@iauzah.ac.ir
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Authors
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