Abstract

A complete description of indecomposable characters of the infinite symmetric inverse semigroup is given. The method essentially uses the decomposition of the elements of this semigroup into a product of independent quasi-cycles and the multiplicativity theorem. Realizations of all factor representations of finite type are constructed.

中文翻译：

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无限对称逆半群的特征

摘要

给出了无限对称逆半群不可分解性的完整描述。该方法主要使用该半群的元素分解为独立的准环和乘法定理的乘积。构造了所有有限类型因子表示的实现。