The Semigroup of Circulant Matrices Over a Lattice |
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| Authors: | Yi-jia Tan |
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| Affiliation: | (1) Department of Mathematics, Fuzhou University, Fuzhou, 350002, China |
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| Abstract: | ![]()
Let Cn(L) denote the set of all n × n circulant matrices over a distributive lattice L. Then Cn(L) forms a semigroup under the usual matrix product. In this paper, we shall characterize all idempotents in Cn(L), and also estabish the Euler-Fermat theorem for the semigroup Cn(L).AMS Subject Classification (2000): 20MSupported by the Educational Committee of Fujian, China. |
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| Keywords: | lattice circulant matrix semigroups idempotent Euler-Ferment theorem |
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