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Categories and General Algebraic Structures with Application، جلد ۱۲، شماره ۱، صفحات ۲۵-۴۲
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
$GPW$-flat،، Eventually regular monoid،، Eventually left almost regular monoid، |
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| عنوان انگلیسی |
On $GPW$-Flat Acts |
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| چکیده انگلیسی مقاله |
In this article, we present $GPW$-flatness property of acts over monoids, which is a generalization of principal weak flatness. We say that a right $S$-act $A_{S}$ is $GPW$-flat if for every $s in S$, there exists a natural number $n = n_ {(s, A_{S})} in mathbb{N}$ such that the functor $A_{S} otimes {}_{S}- $ preserves the embedding of the principal left ideal ${}_{S}(Ss^n)$ into ${}_{S}S$. We show that a right $S$-act $A_{S}$ is $GPW$-flat if and only if for every $s in S$ there exists a natural number $n = n_{(s, A_{S})} in mathbb{N}$ such that the corresponding $varphi$ is surjective for the pullback diagram $P(Ss^n, Ss^n, iota, iota, S)$, where $iota : {}_{S}(Ss^n) rightarrow {}_{S}S$ is a monomorphism of left $S$-acts. Also we give some general properties and a characterization of monoids for which this condition of their acts implies some other properties and vice versa. |
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| کلیدواژه‌های انگلیسی مقاله |
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| نویسندگان مقاله |
Hamideh Rashidi |
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Akbar Golchin |
University of Sistan and Baluchestan
Hossein Mohammadzadeh Saany |
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
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| نشانی اینترنتی |
http://cgasa.sbu.ac.ir/article_82637_db225e4212ba0171013678302be2c9d2.pdf |
| فایل مقاله |
اشکال در دسترسی به فایل - ./files/site1/rds_journals/386/article-386-2230371.pdf |
| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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