Varieties of idempotent semirings with commutative addition |
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| Authors: | Francis Pastijn Xianzhong Zhao |
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| Affiliation: | (1) Department of Mathematics, Statistics, and Computer Science, Marquette University, P.O. Box 1881, Milwaukee, Wisconsin 53201-1881, USA;(2) Department of Mathematics, Northwest University, Shaanxi Xi’an, 710069, The People’s Republic of China |
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| Abstract: | The multiplicative reduct of an idempotent semiring with commutative addition is a regular band. Accordingly there are 13 distinct varieties consisting of idempotent semirings with commutative addition corresponding to the 13 subvarieties of the variety of regular bands. The lattice generated by the these 13 semiring varieties is described and models for the semirings free in these varieties are given. Received April 22, 2004; accepted in final form June 3, 2005. |
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| Keywords: | 16Y60 08B05 20M07 |
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