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- Cancellative_semigroup abstract "In mathematics, a cancellative semigroup (also called a cancellation semigroup) is a semigroup having the cancellation property. In intuitive terms, the cancellation property asserts that from an equality of the form a · b = a · c, where · is a binary operation, one can cancel the element a and deduce the equality b = c. In this case the element being canceled out is appearing as the left factors of a · b and a · c and hence it is a case of left cancellation property. The right cancellation property can be defined in an analogous way. Prototypical examples of cancellative semigroups are the groups and the semigroup of positive integers under addition or multiplication. Cancellative semigroups are considered to be very close to being groups because cancellability is one of the necessary conditions for a semigroup to be embeddable in a group. Moreover, every finite cancellative semigroup is a group. One of the main problems associated with the study of cancellative semigroups is to determine the necessary and sufficient conditions for embedding a cancellative semigroup in a group.The origins of the study of cancellative semigroups can be traced to the first substantial paper on semigroups, (Suschkewitsch 1928).".
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- Cancellative_semigroup wikiPageWikiLink Abelian_group.
- Cancellative_semigroup wikiPageWikiLink Addition.
- Cancellative_semigroup wikiPageWikiLink American_Mathematical_Society.
- Cancellative_semigroup wikiPageWikiLink Binary_operation.
- Cancellative_semigroup wikiPageWikiLink Cancellation_property.
- Cancellative_semigroup wikiPageWikiLink Category:Algebraic_structures.
- Cancellative_semigroup wikiPageWikiLink Category:Semigroup_theory.
- Cancellative_semigroup wikiPageWikiLink Commutative.
- Cancellative_semigroup wikiPageWikiLink Commutative_property.
- Cancellative_semigroup wikiPageWikiLink Epigroup.
- Cancellative_semigroup wikiPageWikiLink Equality_(mathematics).
- Cancellative_semigroup wikiPageWikiLink Grothendieck_group.
- Cancellative_semigroup wikiPageWikiLink Group_(mathematics).
- Cancellative_semigroup wikiPageWikiLink Group_theory.
- Cancellative_semigroup wikiPageWikiLink Injective.
- Cancellative_semigroup wikiPageWikiLink Injective_function.
- Cancellative_semigroup wikiPageWikiLink Invertible_matrix.
- Cancellative_semigroup wikiPageWikiLink Left_zero_semigroup.
- Cancellative_semigroup wikiPageWikiLink Mathematics.
- Cancellative_semigroup wikiPageWikiLink Mathematische_Annalen.
- Cancellative_semigroup wikiPageWikiLink Matrix_(mathematics).
- Cancellative_semigroup wikiPageWikiLink Matrix_multiplication.
- Cancellative_semigroup wikiPageWikiLink Monoid.
- Cancellative_semigroup wikiPageWikiLink Multiplication.
- Cancellative_semigroup wikiPageWikiLink Natural_number.
- Cancellative_semigroup wikiPageWikiLink Nonsingular.
- Cancellative_semigroup wikiPageWikiLink Null_semigroup.
- Cancellative_semigroup wikiPageWikiLink Ore_condition.
- Cancellative_semigroup wikiPageWikiLink Positive_integer.
- Cancellative_semigroup wikiPageWikiLink Prototype.
- Cancellative_semigroup wikiPageWikiLink Right_zero_semigroup.
- Cancellative_semigroup wikiPageWikiLink Semigroup.
- Cancellative_semigroup wikiPageWikiLink Special_classes_of_semigroups.
- Cancellative_semigroup wikiPageWikiLinkText "Cancellative semigroup".
- Cancellative_semigroup wikiPageWikiLinkText "Left cancellative semigroup".
- Cancellative_semigroup wikiPageWikiLinkText "Right cancellative semigroup".
- Cancellative_semigroup wikiPageWikiLinkText "cancellative semigroup".
- Cancellative_semigroup wikiPageWikiLinkText "cancellative".
- Cancellative_semigroup hasPhotoCollection Cancellative_semigroup.
- Cancellative_semigroup wikiPageUsesTemplate Template:Citation.
- Cancellative_semigroup wikiPageUsesTemplate Template:Harv.
- Cancellative_semigroup wikiPageUsesTemplate Template:Reflist.
- Cancellative_semigroup subject Category:Algebraic_structures.
- Cancellative_semigroup subject Category:Semigroup_theory.
- Cancellative_semigroup hypernym Semigroup.
- Cancellative_semigroup comment "In mathematics, a cancellative semigroup (also called a cancellation semigroup) is a semigroup having the cancellation property. In intuitive terms, the cancellation property asserts that from an equality of the form a · b = a · c, where · is a binary operation, one can cancel the element a and deduce the equality b = c. In this case the element being canceled out is appearing as the left factors of a · b and a · c and hence it is a case of left cancellation property.".
- Cancellative_semigroup label "Cancellative semigroup".
- Cancellative_semigroup sameAs m.05zygd3.
- Cancellative_semigroup sameAs Q5031372.
- Cancellative_semigroup sameAs Q5031372.
- Cancellative_semigroup wasDerivedFrom Cancellative_semigroup?oldid=673379821.
- Cancellative_semigroup isPrimaryTopicOf Cancellative_semigroup.