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Base fields of csp-rings. II. (English. Russian original) Zbl 1407.13008
J. Math. Sci., New York 230, No. 3, 451-456 (2018); translation from Fundam. Prikl. Mat. 20, No. 5, 149-156 (2015).
Summary: We prove that every field of characteristic 0 whose cardinality does not exceed the bounding number 6 is a base field of some csp-ring.
For Part I see [the author, Algebra Logic 49, No. 4, 378–385 (2010; Zbl 1270.13003); translation from Algebra Logika 49, No. 4, 555–565 (2010)].
13C13 Other special types of modules and ideals in commutative rings
12F99 Field extensions
Full Text: DOI
[1] Blass, A; Foreman, M (ed.); Kanamori, A (ed.), Combinatorial cardinal characteristics of the continuum, No. 1, 395-489, (2010), Dordrecht · Zbl 1198.03058
[2] Douwen, EK; Kunen, K (ed.); Vaughan, JE (ed.), The integers and topology, 111-167, (1984), Amsterdam
[3] Timoshenko, EA, Base fields of csp-rings, Algebra Logic, 49, 378-385, (2010) · Zbl 1270.13003
[4] Timoshenko, EA, Projective modules over the ring of pseudorational numbers, Zh. SFU. Ser. Mat. Fiz., 4, 541-550, (2011)
[5] Timoshenko, EA, Projective modules over csp-rings, Zh. SFU. Ser. Mat. Fiz., 5, 581-585, (2012)
[6] Zinoviev, EG, Csp-rings as a generalization of rings of pseudo-rational numbers, J. Math. Sci., 154, 301-303, (2008) · Zbl 1172.13300
[7] Zinoviev, EG, Modules over generalized rings of pseudo-rational numbers, J. Math. Sci., 183, 314-318, (2012) · Zbl 1274.13020
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