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MR1649830 (99m:68102) 68Q42 (16S36 20M05 20M25 68Q40)
Madlener, Klaus; Reinert, Birgit Relating rewriting techniques on monoids and rings: congruences on monoids and ideals in monoid rings. Rewriting techniques and applications (New Brunswick, NJ, 1996). Theoret. Comput. Sci. 208 (1998), no. 1-2, 3--31.
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