New Properties over a New Type of Wreath Products on Monoids

• 作者: Suha Ahmed Wazzan
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Wreath Product Green’s RELATIONS LEFT Cancellative MONOIDS ORTHODOX MONOIDS LEFT (Right) INVERSE
• 年，卷（期）: 2019,（8）
• 页码范围: 629-636
• 页数: 8页
• 分类号: O1

摘要

In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and relator sets for , and then proved some finite and infinite cases about it. In this paper, by considering the product, we show Green’s relations L and R as well as we present the conditions for this product to be left cancellative, orthodox and finally left (right) inverse(s).