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References
Clifford A.H., Preston G.B. The algebraic theory of semigroups, Math. Surveys of the Amer. Math., Soc. 7, Providence, 1961.
Gilmer R., Multiplicative ideal theory, Marcel Dekker, New York, 1972.
Gilmer R., Commutative semigroup rings, Chicago Lect. in Math., Chicago, 1984.
Gordon R., Robson J.C., Krull dimension, Memoirs of the Amer. Math. Soc. 133, Providence, 1973.
Lemonnier B., Dimension de Krull et codeviation. Application au theoreme d'Eakin, Comm. Algebra 6(1978), 1647–1665.
Matsuda R., Notes on noetherian semigroup rings, Bull. Fac. Sci. Ibaraki Univ. 15(1983), 9–16.
Moh T.T., On a normalization lemma for integers and an application of four colors theorem, Houston J.Math. 5(1979), 119–123.
Okniński J., When is the semigroup ring perfect, Proc. Amer. Math. Soc. 89(1983), 49–51.
Okniński J., Semilocal semigroup rings, Glasgow Math. J. 25(1984), 37–44.
Park J.K., Skew group rings with Krull dimension, Math. J. Okayama Univ. 25(1983), 75–80.
Passman D.S., Group rings of polycyclic groups, Group theory: essays for Philip Hall, London Math. Soc., 1984.
Saito T., Note on minimal conditions for principal ideals of a semigroup, Math. Japon. 13(1968), 95–104.
Smith P.F., On the dimension of group rings, Proc. London Math. Soc. 25(1972), 288–302.
Woods S.M., Existence of Krull dimension in group rings, J. London Math. Soc. 9(1975), 406–410.
Zelmanov E.I. Semigroup algebras with identities, Sib. Math. J. 18(1977), 787–798.
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© 1988 Springer-Verlag
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Okniński, J. (1988). Commutative monoid rings with krull dimension. In: Jürgensen, H., Lallement, G., Weinert, H.J. (eds) Semigroups Theory and Applications. Lecture Notes in Mathematics, vol 1320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083438
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DOI: https://doi.org/10.1007/BFb0083438
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