Direct sums of injective semimodules and direct products of projective semimodules over semirings

Allerton Press - Tập 54 Số 10 - Trang 27-37 - 2010
S. N. Il’in1
1Kazan State University, Kazan, Russia

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Tài liệu tham khảo

J. S. Golan, Semirings and Their Applications (Kluwer Academic Publishers, Dordrecht-Boston-London, 1999).

F. Kasch, Moduln und Ringe (B. G. Teubner, Stuttgart, 1977; Mir, Moscow, 1981).

C. Faith, Algebra: Rings, Modules, and Categories (Springer, Berlin-Heidelberg-New York, 1976; Mir, Moscow, 1979), Vol. 2.

L. A. Skornyakov, Elements of General Algebra (Nauka, Moscow, 1983) [in Russian].

S. N. Il’in, “Semirings Over Which All Semimodules Are Injective (Projective),” Matem. Vestn. Pedvuzov i Univ. Volgo-Vyatsk. Regiona, No. 8, 50–53 (2006).