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- Semigroup_with_two_elements abstract "In mathematics, a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two. There are exactly five distinct nonisomorphic semigroups having two elements: O2, the null semigroup of order two, LO2 and RO2, the left zero semigroup of order two and right zero semigroup of order two, respectively, ({0,1}, ∧) (where \"∧\" is the logical connective \"and\"), or equivalently the set {0,1} under multiplication: the only semilattice with two elements and the only non-null semigroup with zero of order two, also a monoid, and ultimately the two-element Boolean algebra, (Z2, +2) (where Z2 = {0,1} and \"+2\" is \"addition modulo 2\"), or equivalently the set {−1,1} under multiplication: the only group of order two. The semigroups LO2 and RO2 are antiisomorphic. O2, ({0,1}, ∧) and (Z2, +2) are commutative, LO2 and RO2 are noncommutative. LO2, RO2 and ({0,1}, ∧) are bands and also inverse semigroups.".
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- Semigroup_with_two_elements wikiPageOutDegree "63".
- Semigroup_with_two_elements wikiPageRevisionID "656090728".
- Semigroup_with_two_elements wikiPageWikiLink 2_(number).
- Semigroup_with_two_elements wikiPageWikiLink Algebraic_structure.
- Semigroup_with_two_elements wikiPageWikiLink Antiisomorphism.
- Semigroup_with_two_elements wikiPageWikiLink Associative_property.
- Semigroup_with_two_elements wikiPageWikiLink Band_(mathematics).
- Semigroup_with_two_elements wikiPageWikiLink Binary_operation.
- Semigroup_with_two_elements wikiPageWikiLink Cardinality.
- Semigroup_with_two_elements wikiPageWikiLink Category:Algebraic_structures.
- Semigroup_with_two_elements wikiPageWikiLink Category:Semigroup_theory.
- Semigroup_with_two_elements wikiPageWikiLink Cayley_table.
- Semigroup_with_two_elements wikiPageWikiLink Commutative_property.
- Semigroup_with_two_elements wikiPageWikiLink Complemented_lattice.
- Semigroup_with_two_elements wikiPageWikiLink Cyclic_group.
- Semigroup_with_two_elements wikiPageWikiLink Distinct.
- Semigroup_with_two_elements wikiPageWikiLink Distributive_lattice.
- Semigroup_with_two_elements wikiPageWikiLink Empty_semigroup.
- Semigroup_with_two_elements wikiPageWikiLink False_(logic).
- Semigroup_with_two_elements wikiPageWikiLink Group_(mathematics).
- Semigroup_with_two_elements wikiPageWikiLink Idempotence.
- Semigroup_with_two_elements wikiPageWikiLink Inverse_semigroup.
- Semigroup_with_two_elements wikiPageWikiLink Isomorphism.
- Semigroup_with_two_elements wikiPageWikiLink Lattice_(order).
- Semigroup_with_two_elements wikiPageWikiLink Logic.
- Semigroup_with_two_elements wikiPageWikiLink Logical_conjunction.
- Semigroup_with_two_elements wikiPageWikiLink Logical_connective.
- Semigroup_with_two_elements wikiPageWikiLink Mathematics.
- Semigroup_with_two_elements wikiPageWikiLink Matrix_(mathematics).
- Semigroup_with_two_elements wikiPageWikiLink Matrix_multiplication.
- Semigroup_with_two_elements wikiPageWikiLink Modular_arithmetic.
- Semigroup_with_two_elements wikiPageWikiLink Monoid.
- Semigroup_with_two_elements wikiPageWikiLink Null_semigroup.
- Semigroup_with_two_elements wikiPageWikiLink On-Line_Encyclopedia_of_Integer_Sequences.
- Semigroup_with_two_elements wikiPageWikiLink Ring_(mathematics).
- Semigroup_with_two_elements wikiPageWikiLink Semigroup.
- Semigroup_with_two_elements wikiPageWikiLink Semilattice.
- Semigroup_with_two_elements wikiPageWikiLink Special_classes_of_semigroups.
- Semigroup_with_two_elements wikiPageWikiLink Symmetric_group.
- Semigroup_with_two_elements wikiPageWikiLink Total_order.
- Semigroup_with_two_elements wikiPageWikiLink Trivial_semigroup.
- Semigroup_with_two_elements wikiPageWikiLink Truth.
- Semigroup_with_two_elements wikiPageWikiLink Truth_value.
- Semigroup_with_two_elements wikiPageWikiLink Two-element_Boolean_algebra.
- Semigroup_with_two_elements wikiPageWikiLinkText "Semigroup with two elements".
- Semigroup_with_two_elements wikiPageWikiLinkText "semigroup with two elements".
- Semigroup_with_two_elements wikiPageWikiLinkText "two element subsemigroups".
- Semigroup_with_two_elements wikiPageWikiLinkText "two-element semilattice".
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- Semigroup_with_two_elements subject Category:Algebraic_structures.
- Semigroup_with_two_elements subject Category:Semigroup_theory.
- Semigroup_with_two_elements hypernym Semigroup.
- Semigroup_with_two_elements comment "In mathematics, a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two.".
- Semigroup_with_two_elements label "Semigroup with two elements".
- Semigroup_with_two_elements sameAs Q7449423.
- Semigroup_with_two_elements sameAs m.05z_658.
- Semigroup_with_two_elements sameAs Q7449423.
- Semigroup_with_two_elements wasDerivedFrom Semigroup_with_two_elements?oldid=656090728.
- Semigroup_with_two_elements isPrimaryTopicOf Semigroup_with_two_elements.