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-  2018 

关于S-系的积
On products of S-acts

DOI: 10.6040/j.issn.1671-9352.0.2017.419

Keywords: 直积,右reversible幺半群,S-系,左collapsible幺半群,
S-act
,left collapsible monoid,right reversible monoid,direct products

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Abstract:

摘要: 设S是左collapsible幺半群或右reversible幺半群时, 证明了S-系的直积的一些性质也可以转移到其分量上。 所得结论推广了关于这些性质的已有结果, 获得了S-系的直积的性质对其分量具有遗传性质的新的幺半群类。
Abstract: Let S be a left collapsible or a right reversible monoid. It is proved that some properties can also transfer from products of acts to their components. The results generalized some known results on theseproperties, and some new classes of monoids over which the properties of product of acts can transfer to their components are obtained

References

[1]  LEILA NOURI A H. On properties of product acts over monoids[J]. Communications in Algebra, 2015, 43:1854-1876.
[2]  BULMAN-FLEMING S. Products of projective <i>S</i>-systems[J]. Communications in Algebra, 1990, 19(3):951-964.
[3]  SEDAGHTOO M, KHOSRAVI R, ERSHAD M. Principally weakly and weakly coherent monoids[J]. Communications in Algebra, 2009, 37:4281-4295.
[4]  ERSHAD M. On strongly flat and condition(P)<i>S</i>-posets[J]. Semigroup Forum, 2011, 82:530-541.
[5]  CHASE S U. Direct product of modules[J]. Trans Amer Math Soc, 1960, 97:457-473.
[6]  KILP M, KNAURE U, MIKHALEV A. Monoids, acts and categories[M]. Berlin: W de Gruyter, 2000.

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