# Semiring of Sets

Formalized Mathematics (2014)

- Volume: 22, Issue: 1, page 79-84
- ISSN: 1426-2630

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topRoland Coghetto. "Semiring of Sets." Formalized Mathematics 22.1 (2014): 79-84. <http://eudml.org/doc/267265>.

@article{RolandCoghetto2014,

abstract = {Schmets [22] has developed a measure theory from a generalized notion of a semiring of sets. Goguadze [15] has introduced another generalized notion of semiring of sets and proved that all known properties that semiring have according to the old definitions are preserved. We show that this two notions are almost equivalent. We note that Patriota [20] has defined this quasi-semiring. We propose the formalization of some properties developed by the authors.},

author = {Roland Coghetto},

journal = {Formalized Mathematics},

keywords = {sets; set partitions; distributive lattice},

language = {eng},

number = {1},

pages = {79-84},

title = {Semiring of Sets},

url = {http://eudml.org/doc/267265},

volume = {22},

year = {2014},

}

TY - JOUR

AU - Roland Coghetto

TI - Semiring of Sets

JO - Formalized Mathematics

PY - 2014

VL - 22

IS - 1

SP - 79

EP - 84

AB - Schmets [22] has developed a measure theory from a generalized notion of a semiring of sets. Goguadze [15] has introduced another generalized notion of semiring of sets and proved that all known properties that semiring have according to the old definitions are preserved. We show that this two notions are almost equivalent. We note that Patriota [20] has defined this quasi-semiring. We propose the formalization of some properties developed by the authors.

LA - eng

KW - sets; set partitions; distributive lattice

UR - http://eudml.org/doc/267265

ER -

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