论文标题
从预击球到偏斜的牙套
From pre-trusses to skew braces
论文作者
论文摘要
引入了前骑行的概念，即既是堆又是半群的概念。搜寻本身以及搜寻前的预击，其中研究了单方面或双面分配法律。这些分别称为近击和偏斜的桁架。预击球中的一致性表明与此处定义为满足特定闭合特性的子主体相对应。通过其典范和理想的结构鉴定出对应于偏斜括号和近环的近搜寻。定义了前骑行中的常规元素，导致（前骑兵）域的概念。后者被完全原定的Paragons描述为商，此处也定义了。常规的预击球作为满足矿石条件的域，并定义了分数的预击球。特别是，表明没有吸收剂的近距离击球对应于偏斜的牙套。
The notion of a pre-truss, that is, a set that is both a heap and a semigroup is introduced. Pre-trusses themselves as well as pre-trusses in which one-sided or two-sided distributive laws hold are studied. These are termed near-trusses and skew trusses respectively. Congruences in pre-trusses are shown to correspond to paragons defined here as sub-heaps satisfying particular closure property. Near-trusses corresponding to skew braces and near-rings are identified through their paragon and ideal structures. Regular elements in a pre-truss are defined leading to the notion of a (pre-truss) domain. The latter are described as quotients by completely prime paragons, also defined hereby. Regular pre-trusses as domains that satisfy the Ore condition are introduced and the pre-trusses of fractions are defined. In particular, it is shown that near-trusses of fractions without an absorber correspond to skew braces.
