Rng (algebra) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Rng (algebra)" in English language version.

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See Bourbaki (1998), p. 102, where it is called a pseudo-ring of square zero. Some other authors use the term "zero ring" to refer to any rng of square zero; see e.g. Szele (1949) and Kreinovich (1995). Szele, Tibor (1949). "Zur Theorie der Zeroringe". Mathematische Annalen. 121: 242–246. doi:10.1007/bf01329628. MR 0033822. S2CID 122196446. Kreinovich, V. (1995). "If a polynomial identity guarantees that every partial order on a ring can be extended, then this identity is true only for a zero-ring". Algebra Universalis. 33 (2): 237–242. doi:10.1007/BF01190935. MR 1318988. S2CID 122388143.

Jacobson (1989), pp. 155–156 Jacobson, Nathan (1989). Basic algebra (2nd ed.). New York: W.H. Freeman. ISBN 0-7167-1480-9.

Noether (1921), p. 30, §1.2 Noether, Emmy (1921). "Idealtheorie in Ringbereichen" [Ideal theory in rings]. Mathematische Annalen (in German). 83 (1–2): 24–66. doi:10.1007/BF01464225. S2CID 121594471.
Dorroh (1932) Dorroh, J. L. (1932). "Concerning Adjunctions to Algebras". Bull. Amer. Math. Soc. 38 (2): 85–88. doi:10.1090/S0002-9904-1932-05333-2.
See Bourbaki (1998), p. 102, where it is called a pseudo-ring of square zero. Some other authors use the term "zero ring" to refer to any rng of square zero; see e.g. Szele (1949) and Kreinovich (1995). Szele, Tibor (1949). "Zur Theorie der Zeroringe". Mathematische Annalen. 121: 242–246. doi:10.1007/bf01329628. MR 0033822. S2CID 122196446. Kreinovich, V. (1995). "If a polynomial identity guarantees that every partial order on a ring can be extended, then this identity is true only for a zero-ring". Algebra Universalis. 33 (2): 237–242. doi:10.1007/BF01190935. MR 1318988. S2CID 122388143.

Noether (1921), p. 30, §1.2 Noether, Emmy (1921). "Idealtheorie in Ringbereichen" [Ideal theory in rings]. Mathematische Annalen (in German). 83 (1–2): 24–66. doi:10.1007/BF01464225. S2CID 121594471.
See Bourbaki (1998), p. 102, where it is called a pseudo-ring of square zero. Some other authors use the term "zero ring" to refer to any rng of square zero; see e.g. Szele (1949) and Kreinovich (1995). Szele, Tibor (1949). "Zur Theorie der Zeroringe". Mathematische Annalen. 121: 242–246. doi:10.1007/bf01329628. MR 0033822. S2CID 122196446. Kreinovich, V. (1995). "If a polynomial identity guarantees that every partial order on a ring can be extended, then this identity is true only for a zero-ring". Algebra Universalis. 33 (2): 237–242. doi:10.1007/BF01190935. MR 1318988. S2CID 122388143.