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Original Articles

On Properties of Product Acts over Monoids

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Pages 1854-1876 | Received 12 May 2013, Published online: 27 Feb 2015

REFERENCES

  • Bulman-Fleming , S. ( 1991 ). Products of projective S − systems . Communication in Algebra 19 ( 3 ): 951 – 964 .
  • Bulman-Fleming , S. , Gilmour , A. ( 2009 ). Flatness properties of diagonal acts over monoids . Semigroup Forum 79 : 298 – 314 .
  • Bulman-Fleming , S. , McDowell , K. ( 1983 ). Absolutely flat semigroups . Pac. Journal of Math 107 ( 2 ): 319 – 333 .
  • Bulman-Fleming , S. , McDowell , K. ( 1990 ). Coherent monoids . In: Almeida , J. , et al., eds. Latices, Semigroups and Universal Algebra . New York : Plenum Press .
  • Bulman-Fleming , S. , McDowell , K. ( 1990 ). Monoids over which all weakly flat acts are flat . Proc. Edinburgh Math. Soc. 33 : 287 – 298 .
  • Fountain , J. ( 1977 ). Right PP monoids with central idempotents . Semigroup Forum 13 : 229 – 237 .
  • Gallagher , P. , Ruskuc , N. ( 2005 ). Generation of diagonal acts of some semigroups of transformations and relations . Bull. Austral. Math. Soc. 72 : 139 – 146 .
  • Golchin , A. , Mohammadzadeh , H. ( 2006 ). On Condition (E′P) . Journal of Sciences, Islamic Republic of Iran 17 ( 4 ): 343 – 349 .
  • Golchin , A. , Mohammadzadeh , H. ( 2007 ). On Condition (EP) . International Mathematical Forum 2 ( 19 ): 911 – 918 .
  • Golchin , A. , Mohammadzadeh , H. ( 2009 ). On Condition (PWP E ) . Southeast Asian Bulletin of Mathematics 33 : 245 – 256 .
  • Golchin , A. , Mohammadzadeh , H. ( 2009 ). On homological classification of monoids by condition (P E ) of right acts . Italian Journal of Pure and Applied Mathematics 25 : 175 – 186 .
  • Golchin , A. , Mohammadzadeh , H. ( 2013 ). On Condition (P′) . Semigroup Forum 86 : 413 – 430 .
  • Golchin , A. , Rezaei , P. , Mohammadzadeh , H. ( 2009 ). On strongly (P)-cyclic acts . Czechoslovak Mathematical Journal 59 ( 134 ): 595 – 611 .
  • Gould , V. ( 1992 ). Coherent monoids . J. Austral. Math. Soc. (Series A) 53 : 166 – 182 .
  • Howie , J. M. ( 1995 ). Fundamentals of Semigroup Theory; London Mathematical Society Monographs . London : Oxford University Press .
  • Qiao , H. Wei C. ( 2012 ). On a generalization of principal weak flatness property . Semigroup Forum 85 : 147 – 159 .
  • Kilp , M. , Knauer , U. , Mikhalev , A. ( 2000 ). Monoids, Acts and Categories . Berlin : W. de Gruyter .
  • Laan , V. ( 1999 ). Pullbacks and flatness properties of acts. Ph.D dissertation, University of Tartu, Tartu, Estonia .
  • Liu , Z. K. , Yang , Y. B. ( 1994 ). Monoids over which every flat right act satisfies condition (P) . Communication in Algebra 22 ( 8 ): 2861 – 2875 .
  • Sedaghatjoo , M. , Khosravi , R. , Ershad , M. ( 2009 ). Principally weakly and weakly coherent monoids . Communication in Algebra 37 ( 12 ): 4281 – 4295 .
  • Communicated by V. Gould.

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