Rocky Mountain Journal of Mathematics

The Minimal Generating Sets of the Multiplicative Monoid of a Finite Commutative Ring

David E. Dobbs and Brian C. Irick
Source: Rocky Mountain J. Math. Volume 36, Number 4 (2006), 1165-1190.
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181069410
Digital Object Identifier: doi:10.1216/rmjm/1181069410
Mathematical Reviews number (MathSciNet): MR2274890
Zentralblatt MATH identifier: 1159.20034

References

D.D. Anderson, Finitely presented multiplicative semigroups of rings, Semigroup Forum 55 (1997), 294-298.
Mathematical Reviews (MathSciNet): MR1469445
Zentralblatt MATH: 0889.20035
Digital Object Identifier: doi:10.1007/PL00005930
D.D. Anderson and J. Stickles, Commutative rings with finitely presented multiplicative semigroup, Semigroup Forum 60 (2000), 436-443.
Mathematical Reviews (MathSciNet): MR1828827
Zentralblatt MATH: 0961.13014
Digital Object Identifier: doi:10.1007/s002339910035
K.E. Aubert, On the ideal theory of commutative semi-groups, Math. Scand. 1 (1953), 39-54.
Mathematical Reviews (MathSciNet): MR55990
G.D. Bullington, On the expected number of generators of a submodule of a free module over a finite special principal ideal ring, Rend. Circ. Mat. Palermo (2) 51 (2002), 5-50.
Mathematical Reviews (MathSciNet): MR1905707
Zentralblatt MATH: 02216975
Digital Object Identifier: doi:10.1007/BF02871451
R. Gilmer, Commutative semigroup rings, Chicago Lectures in Math., Univ. Chicago Press, Chicago, 1984.
Mathematical Reviews (MathSciNet): MR741678
J. R. Isbell, On the multiplicative semigroup of a commutative ring, Proc. Amer. Math. Soc. 10 (1959), 908-909.
Mathematical Reviews (MathSciNet): MR109163
Zentralblatt MATH: 0092.27301
Digital Object Identifier: doi:10.2307/2033619
N. Jacobson, Lectures in abstract algebra, Vol. I, Van Nostrand, Princeton, 1951.
Mathematical Reviews (MathSciNet): MR41102
I. Kaplansky, Commutative rings, rev. ed., Univ. Chicago Press, Chicago, 1974.
Mathematical Reviews (MathSciNet): MR345945
E.S. Ljapin, Semigroups, Transl. Math. Monogr., vol. 3, Amer. Math. Soc., Providence, 1974.
Mathematical Reviews (MathSciNet): MR352302
O. Zariski and P. Samuel, Commutative algebra, Vol. I, Van Nostrand, Princeton, 1958.
Mathematical Reviews (MathSciNet): MR90581

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Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics