The p-Cockcroft Property of the Semi-Direct Products of Monoids
نویسنده
چکیده
The semi-direct product of arbitrary two monoids and a presentation for this product have received considerable attention, see for instance [12], [14] and [15]. In [15], Wang defined a trivialiser set of the Squier complex associated with this presentation. In this paper, as a main result, we discuss necessary and sufficient conditions for the standard presentation of the semi-direct product of any two monoids to be p-Cockcroft for any prime p or 0. Finally we present some applications of this main theorem. 2000 Mathematics subject classification: 20M05, 20M50, 20M15, 20M99, 20L05.
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ورودعنوان ژورنال:
- IJAC
دوره 13 شماره
صفحات -
تاریخ انتشار 2003