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Let n be a positive integer, and Cn(r) be the set of all n× nr-circulant matrices over the Boolean algebra B ={0, 1}, . For any fixed r-circulant matrix C(C≠0) in Gn. Define an operation "*" in Gn： A * B = ACB for any A, B in Gn, where ACB is the usual product of Boolean matrices. Then （Gn, *）is a semigroup. We denote this semigroup by Gn(C) and call it the sandwich semigroup of generalized circulant Boolean matrices with sandwich matrix C. In this paper, the fully regular elements in Gn(C) are characterized. The algorithm to find all the fully regular elements of A in Gn(C) is given.

To study the relationship between the tissue pregradient protein 2 (AGR2) and microfiber associated protein2 (MFAP2) protein 2expression and clinicopathological features and prognosis of colorectal cancer (CRC). Methods: 84 patients with CRC who were admitted to the hospital from January 2015 to February 2016 were included in the study. CRC tissues and adjacent nor-mal tissues (2 ~ 5cm away from the tumor edge) were collected from all patients, and the AGR2 and MFAP2 protein expression in different tissues were detected and compared. The relationship between AGR2, MFAP2 protein expression and clinicopathological features and prognosis of patients with CRC were analyzed. Cox regression model was used to analyze the prognostic factors of patients with CRC. Results: The positive expression rates of AGR2 and MFAP2 protein in CRC tissues were all higher than those in adjacent normal tissues (P<0.05). The positive expression rates of AGR2 and MFAP2 protein in patients with CRC with low differentiation, TNM stage was Ⅲ and vascular invasion were higher than those in patients with CRC with medium and high differentiation, TNM stage was Ⅰ～Ⅱ, and no vascular invasion (P<0.05). 3-year survival rate and 5-year survival rate in AGR2, MFAP2 protein positive patients were significantly lower than those with negative expression patients (P<0.05). Cox regression model analysis showed that the degree of differentiation was low, TNM stage was stage III, vascular infiltration and the positive expression of AGR2 and MFAP2 protein were the risk factors of death in patients with CRC (P<0.05). Conclusion: The positive expression rate of AGR2 and MFAP2 protein in CRC increased, which are related to the degree of differentiation, TNM stage and vascular infiltration of patients. Detecting their expression is helpful to predict the prognosis of patients with CRC. [ABSTRACT FROM AUTHOR]

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Copyright of Journal of Fuzhou University is the property of Journal of Fuzhou University, Editorial Department and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)