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Classification of monoids by injectivities II. CC-injectivity
Authors:Xia Zhang  Ulrich Knauer  Yuqun Chen
Institution:(1) School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, People’s Republic of China;(2) Institut fuer Mathematik, Carl von Ossietzky University, 26111 Oldenburg, Germany
Abstract:We characterize monoids over which all S-acts are CC-injective and find conditions under which CC-injectivity of all acts implies that all acts are C-injective. Research of X. Zhang supported by the China Scholarship Council No. 2006101056. Research of Y. Chen supported by the NNSF of China (No. 10771077) and the NSF of Guangdong Province (No. 06025062).
Keywords:Monoid            S-act  C-injectivity  CC-injectivity
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