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Bana Al Subaiei 《代数通讯》2013,41(6):2455-2474
The study of amalgamation in the category of partially ordered monoids was initiated by Fakhuruddin in the 1980s. In 1986 he proved that, in the category of commutative pomonoids, every absolutely flat commutative pomonoid is a weak amalgmation base and every commutative pogroup is a strong amalgamation base. Some twenty years later, Bulman-Fleming and Sohail in 2011 extended this work to what they referred to as pomonoid amalgams. In particular, they proved that pogroups are poamalgmation bases in the category of pomonoids. Sohail, also in 2011, proved that absolutely poflat commutative pomonoids are poamalgmation bases in the category of commutative pomonoids. In the present article, we extend the work on pomonoid amalgams by generalizing the work of Renshaw on amalgams of monoids and extension properties of acts over monoids. 相似文献
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Roghaieh KHOSRAVI 《数学研究及应用》2016,36(5):521-526
In this paper, we present some homological classifications of pomonoids by using Rees factor $S$-posets satisfying condition $(P_w)$. 相似文献
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