caa a22 4500 46906885X CHVBK 20180323132915.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02808013 doi (NATIONALLICENCE)springer-10.1007/BF02808013 Krause Günter Department of Mathematics and Astronomy, University of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada aut Flat embeddings of noetherian algebras in artinian rings [Elektronische Daten] [Günter Krause] It is shown that a noetherian algebraR with finite Gelfand-Kirillov dimension and right primary decomposition can be embedded in an artinian ringS, and thatS is flat as a leftR-module if and only if all right associated primes are minimal. IfR is irreducible then such a flat embedding is possible if and only ifR has an artinian quotient ring. Also, the existence of a left flat embedding in an artinian ring allows an explicit description of the prime middle annihilators ofR. Hebrew University, 1992 Israel Journal of Mathematics Springer-Verlag 77/1-2(1992-02-01), 97-114 0021-2172 77:1-2<97 1992 77 11856 https://doi.org/10.1007/BF02808013 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808013 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krause Günter Department of Mathematics and Astronomy, University of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 77/1-2(1992-02-01), 97-114 0021-2172 77:1-2<97 1992 77 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer