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Communications in Algebra Volume 34, 2006 - Issue 4
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Original Articles

Flatness Properties of S-Posets

Sydney Bulman-Fleming Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, CanadaCorrespondence[email protected]
,
Denise Gutermuth Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
,
Andrew Gilmour Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada
&
Mati Kilp Institute of Pure Mathematics, University of Tartu, Tartu, Estonia
Pages 1291-1317 | Received 10 Oct 2004, Published online: 03 Sep 2006

Citations (30)

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Read on this site (5)

Xingliang Liang, Yun Dang & Boyan Wei. (2024) On subpullback flat S-posets. Communications in Algebra 52:6, pages 2446-2466.
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Hamid Rasouli, Hasan Barzegar & Leila Shahbaz. (2017) Purity in the category of S-posets. Communications in Algebra 45:12, pages 5053-5067.
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Xingliang Liang, Valdis Laan, Yanfeng Luo & Roghaieh Khosravi. (2017) Weakly torsion free S-posets. Communications in Algebra 45:8, pages 3340-3352.
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Sydney Bulman-Fleming & Sohail Nasir. (2011) Representation Extension and Amalgamation in Pomonoids. Communications in Algebra 39:10, pages 3631-3645.
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Akbar Golchin & Parisa Rezaei. (2009) Subpullbacks and Flatness Properties of S-Posets. Communications in Algebra 37:6, pages 1995-2007.
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Articles from other publishers (25)

Bana Al Subaiei. (2023) On pomonoid of partial transformations of a poset. Open Mathematics 21:1.
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Hamideh Rashidi, Akbar Golchin & Hossein Mohammadzadeh Saany. (2021) On a generalization of principal weak (po-)flatness of S-posets. Asian-European Journal of Mathematics 15:04.
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Bana Al Subaiei. (2020) Connectivity, indecomposable, and weakly reversible in S-posets. Asian-European Journal of Mathematics 14:08, pages 2150139.
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Leila Shahbaz & Mojgan Mahmoudi. (2020) Down closed injectivity and essentialness. Journal of Algebra and Its Applications 20:07, pages 2150118.
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Roghaieh Khosravi & Mojtaba Sedaghatjoo. (2019) Flatness properties of S-posets with an approach to down-closed subposets. Asian-European Journal of Mathematics 14:02, pages 2150011.
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Jian Tang, Xiang-Yun Xie & Bijan Davvaz. (2020) A study on strongly convex hyper S -subposets in hyper S -posets . Open Mathematics 18:1, pages 1935-1951.
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Xin Zhang & Bin Zhao. (2020) Free and cofree S-quantales. Algebra universalis 81:2.
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Milan Petrík & Thomas Vetterlein. (2018) Rees coextensions of finite tomonoids and free pomonoids. Semigroup Forum 99:2, pages 345-367.
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Xingliang Liang & Roghaieh Khosravi. (2018) Directed colimits of some flatness properties and purity of epimorphisms in S -posets . Open Mathematics 16:1, pages 669-687.
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Roghaieh Khosravi. (2016) On Condition $$(P_w)$$ ( P w ) for S-Posets. Bulletin of the Malaysian Mathematical Sciences Society 41:3, pages 1519-1527.
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Setareh Irannezhad & Ali Madanshekaf. (2017) On classification of pomonoids by properties of generators. Asian-European Journal of Mathematics 10:03, pages 1750041.
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Jian Tang, Bijan Davvaz & Xiang-Yun Xie. (2017) An investigation on hyper S-posets over ordered semihypergroups. Open Mathematics 15:1, pages 37-56.
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Xingliang Liang, Xinyang Feng & Yanfeng Luo. (2016) On homological classification of pomonoids by GP-po-flatness of S -posets . Open Mathematics 14:1, pages 767-782.
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Leila Shahbaz & Mojgan Mahmoudi. (2015) Injectivity of $$S$$ S -posets with respect to down closed regular monomorphisms. Semigroup Forum 91:3, pages 584-600.
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Mati Kilp. (2014) On the homological classification of pomonoids: Clifford pomonoids. Semigroup Forum 91:3, pages 663-674.
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Akbar Golchin & Leila Nouri. (2014) A correction on the paper “the flatness properties of S-poset A(I) and Rees factor S-posets”. Semigroup Forum 90:1, pages 296-299.
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Mati Kilp. (2013) On the homological classification of pomonoids by properties of cyclic S-posets. Semigroup Forum 86:3, pages 592-602.
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M. Ershad & R. Khosravi. (2010) On strongly flat and condition (P) S-posets. Semigroup Forum 82:3, pages 530-541.
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M. M. Ebrahimi, M. Mahmoudi & H. Rasouli. (2010) Banaschewski’s theorem for S-posets: regular injectivity and completeness. Semigroup Forum 80:2, pages 313-324.
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Sydney Bulman-Fleming & Sohail Nasir. (2010) Examples concerning absolute flatness and amalgamation in pomonoids. Semigroup Forum 80:2, pages 272-292.
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Husheng Qiao & Zhongkui Liu. (2009) On the homological classification of pomonoids by their Rees factor S-posets. Semigroup Forum 79:2, pages 385-399.
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Akbar Golchin & Parisa Rezaei. (2009) (Homo) Flatness of posets on poideal extensions. Semigroup Forum 79:1, pages 65-78.
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Sydney Bulman-Fleming. (2008) Subpullback flat S-posets need not be subequalizer flat. Semigroup Forum 78:1, pages 27-33.
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Husheng Qiao & Fang Li. (2008) The flatness properties of S-poset A(I) and Rees factor S-posets. Semigroup Forum 77:2, pages 306-315.
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Xiaoping Shi. (2007) On flatness properties of cyclic S-posets. Semigroup Forum 77:2, pages 248-266.
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