Let C-n be the semigroup of all the n x n circulant Boolean matrices (n greater than or equal to 2), and let R be a nonzero element in C-n. The sandwich semigroup of C-n(R) is the set C-n together with the multiplication rule A * B = ARE. For a given idempotent I-R in C-n(R), we characterize the matrices A is an element of C-n(R) that belong to I-R in the sense that A(*k) = I-R for some nonnegative integer k. When R is the identity matrix, the result specializes to a theorem of Schwarz. (C) Elsevier Science Inc., 1996 [References: 9]
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机译：令C-n为所有n x n循环布尔矩阵（n大于或等于2）的半群，令R为C-n中的非零元素。 C-n（R）的三明治半群是集合C-n，乘积规则A * B = ARE。对于C-n（R）中给定的等幂I-R，我们将矩阵A表征为属于I-R的C-n（R）的元素，这意味着对于某些非负整数k，A（* k）= I-R。当R是单位矩阵时，结果专门化为Schwarz定理。 （C）Elsevier Science Inc.，1996年[参考文献：9]
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