We formalize that the image of a semiring of sets [17] by an injective function is a semiring of sets.We offer a non-trivial example of a semiring of sets in a topological space [21]. Finally, we show that the finite product of a semiring of sets is also a semiring of sets [21] and that the finite product of a classical semiring of sets [8] is a classical semiring of sets. In this case, we use here the notation from the book of Aliprantis and Border [1].
@article{bwmeta1.element.doi-10_1515_forma-2015-0011,
author = {Roland Coghetto},
title = {Finite Product of Semiring of Sets},
journal = {Formalized Mathematics},
volume = {23},
year = {2015},
pages = {107-114},
zbl = {1318.28003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_forma-2015-0011}
}
Roland Coghetto. Finite Product of Semiring of Sets. Formalized Mathematics, Tome 23 (2015) pp. 107-114. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_forma-2015-0011/
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