Title of article
Subpullbacks and coproducts of $S$-posets
Author/Authors
-، - نويسنده School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China. Liang, Xingliang , -، - نويسنده School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China. Luo, Yanfeng
Issue Information
سالنامه با شماره پیاپی 0 سال 2015
Pages
20
From page
1
To page
20
Abstract
-
Abstract
In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor $A_{S} otimes -$ preserves pullbacks. In this paper, we extend these results to$S$-posets and present equivalent descriptions of weakly kernel po-flat, principally weakly kernel po-flat and translation kernel po-flat. Moreover, we show that most of flatness properties of $S$-posets can be transferred to their coproducts and vice versa.
Journal title
Categories and General Algebraic Structures with Applications
Serial Year
2015
Journal title
Categories and General Algebraic Structures with Applications
Record number
2314607
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