The lattice of ideals of a polynomial semiring |
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| Authors: | Francisco Alarcón D. D. Anderson |
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| Affiliation: | (1) Indiana University of Pennsylvania, Indiana, Pennsylvania;(2) University of Iowa, Iowa City, Iowa |
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| Abstract: | We show that for a semiringR, the following statements are equivalent: (1)R is a ring, (2) every left ideal ofR[X], the semiring of polynomials overR, is subtractive, (3) the lattice of left ideals ofR[X] is modular.Presented by R. W. Quackenbush. |
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| Keywords: | 06C99 16Y90 |
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