Davenport constant for semigroups |
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| Authors: | Guoqing Wang Weidong Gao |
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| Affiliation: | (1) Institute of Mathematics, Dalian University of Technology, Dalian, 116024, People’s Republic of China;(2) Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, People’s Republic of China |
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| Abstract: | Let G be a finite commutative semigroup. The Davenport constant of G is the smallest integer d such that, every sequence S of d elements in G contains a subsequence T (≠S) with the same product of S. Let  . Among other results, we determine D(R ×)−D(U(R)), where R × is the multiplicative semigroup of R and U(R) is the group of units of R. |
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| Keywords: | Semigroup Davenport constant Reducible sequence Homogeneous subsequence |
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