×

zbMATH — the first resource for mathematics

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)].
MSC:
13C13 Other special types of modules and ideals in commutative rings
12F99 Field extensions
PDF BibTeX XML Cite
Full Text: DOI
References:
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.