# Finite Product of Semiring of Sets

Formalized Mathematics (2015)

- Volume: 23, Issue: 2, page 107-114
- ISSN: 1426-2630

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topRoland Coghetto. "Finite Product of Semiring of Sets." Formalized Mathematics 23.2 (2015): 107-114. <http://eudml.org/doc/271763>.

@article{RolandCoghetto2015,

abstract = {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].},

author = {Roland Coghetto},

journal = {Formalized Mathematics},

keywords = {set partitions; semiring of sets},

language = {eng},

number = {2},

pages = {107-114},

title = {Finite Product of Semiring of Sets},

url = {http://eudml.org/doc/271763},

volume = {23},

year = {2015},

}

TY - JOUR

AU - Roland Coghetto

TI - Finite Product of Semiring of Sets

JO - Formalized Mathematics

PY - 2015

VL - 23

IS - 2

SP - 107

EP - 114

AB - 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].

LA - eng

KW - set partitions; semiring of sets

UR - http://eudml.org/doc/271763

ER -

## References

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