Subpullbacks and coproducts of $S$-posets | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 2، دوره 3، شماره 1، مهر 2015، صفحه 1-20 اصل مقاله (1.82 M) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Xingliang Liang؛ Yanfeng Luo | ||
| School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| $S$-poset؛ subpullback؛ flatness؛ coproduct | ||
| مراجع | ||
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