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Embedding semirings by translational hulls. (English) Zbl 0348.16014


MSC:

16Y60 Semirings
16Y30 Near-rings
20A10 Metamathematical considerations in group theory
20M15 Mappings of semigroups
20M20 Semigroups of transformations, relations, partitions, etc.
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References:

[1] Clifford, A. H. and G. B. Preston,The Algebraic Theory of Semigroups, Vol. I. Amer. Math. Soc. (1961). · Zbl 0111.03403
[2] Grillet, M. Poinsignon,Embedding of a semiring into a semi-ring with identity, Acta Math. Acad. Sci. Hungar. 20 (1969), 121–128. · Zbl 0185.08501 · doi:10.1007/BF01894572
[3] Petrich, M.,The translational hull in semigroups and rings, Semigroup Forum 1 (1970), 283–360. · Zbl 0209.04902 · doi:10.1007/BF02573051
[4] Steinfeld, O.,Über Semiringe mit multiplikativer Kürzungsregel, Acta Sci. Math. 24 (1963), 190–195. · Zbl 0123.00804
[5] Tamura, T. and N. Graham,Certain embedding problems of semigroups, Proc. Japan Acad. 40 (1964), 8–13. · Zbl 0123.01603 · doi:10.3792/pja/1195522864
[6] Weinert, H. J.,Über Halbringe und Halbkörper I, Acta Math. Acad. Sci. Hungar. 13 (1962), 365–378. · Zbl 0125.01002 · doi:10.1007/BF02020799
[7] Weinert, H. J.,Related representation theorems for rings,semirings,nearrings and seminearrings by partial transformations and partial endomorphisms, to appear in Proc. Edinburgh Math. Soc.. · Zbl 0347.16024
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