论文标题
Semiheaps和相关半群中的生物元素对
Biunit pairs in semiheaps and associated semigroups
论文作者
论文摘要
在半iHeap中引入了生物元对作为成对的元素，该元素概括了单位的概念。调查了功能的概括和共轭的家庭（称为开关和扭曲）。主要定理确定配备了特定开关的单脚体和带有生物元对的Semiheap之间存在一对一的对应关系。这概括了半iheap理论的良好结果，该理论将相关的半群和半iHeap与生物元素联系起来。此外，将diheaps引入为半iheaps，其元素属于生物对，并且被证明是非同构的，但与堆相等。
Biunit pairs are introduced as pairs of elements in a semiheap that generalize the notion of unit. Families of functions generalizing involutions and conjugations, called switches and warps, are investigated. The main theorem establishes that there is a one-to-one correspondence between monoids equipped with a particular switch and semiheaps with a biunit pair. This generalizes a well-established result in semiheap theory that connects involuted semigroups and semiheaps with biunit elements. Furthermore, diheaps are introduced as semiheaps whose elements belong to biunit pairs and they are shown to be non-isomorphic but warp-equivalent to heaps.
