A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 7، دوره 1، شماره 1، اسفند 2013، صفحه 103-117 اصل مقاله (592.58 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Xia Zhang1؛ Wenling Zhang1؛ Ulrich Knauer2 | ||
| 1School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China. | ||
| 2Institut fuer Mathematik, Carl von Ossietzky University, D-26111 Oldenburg, Germany. | ||
| چکیده | ||
| This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective. | ||
| کلیدواژهها | ||
| Promonoid؛ Regular injectivity؛ Cyclic $S$-poset | ||
| مراجع | ||
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[1] S.L. Bloom, Varieties of ordered algebras, J. Comput. System Sci. 1976, 13, 200-212. [2] S. Bulman-Fleming, V. Laan, Lazard's theorem for S-posets, Math. Nachr., 2005, 278(15), 1743-1755. [3] M. Kilp, U. Knauer, A. Mikhalev, Monoids, Acts and Categories, with Applications to Wreath Products and Graphs; Walter de Gruyter: Berlin, New York, 2000. [4] X. Zhang, Regular injectivity of S-posets over Cli ord pomonoids, Southeast Asian Bull. Math., 2008, 32(5), 1007-1015. [5] X. Zhang, U. Knauer, and Y.Q. Chen, Classi cation of monoids by injectivities I. C-injectivity, Semigroup Forum, 2008, 76(1), 169-176. | ||
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