_:b17592454	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If one considers the variety of semigroups, one has the binary operation of multiplication defined on every semigroup."@en .
_:b6903707	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups."@en .
_:b17592449	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592450 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592451 .
_:b17592452	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If one considers the variety of semigroups, one has the binary operation of multiplication defined on every semigroup."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592449 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592454 .
_:b6903705	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"(mathematics) Any set for which there is a binary operation that is closed and associative."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://kaiko.getalp.org/dbnary#hypernym>	<http://kaiko.getalp.org/dbnary/eng/magma> .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592452 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592453 .
_:b17592451	<http://purl.org/dc/terms/bibliographicCitation>	"1988, A. Ya A\u01D0zenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, American Mathematical Society Translations, Series 2, Volume 139, page 11,"@en .
_:b17592456	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"(mathematics) Any set for which there is a binary operation that is closed and associative."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://kaiko.getalp.org/dbnary#senseNumber>	"1" .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#definition>	_:b17592456 .
_:b17592450	<http://purl.org/dc/terms/bibliographicCitation>	"1961, Alfred Hoblitzelle Clifford, G. B. Preston, The Algebraic Theory of Semigroups, page 70:"@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://www.w3.org/ns/lemon/ontolex#LexicalSense> .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://kaiko.getalp.org/dbnary#hyponym>	<http://kaiko.getalp.org/dbnary/eng/group> .
_:b6903708	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If one considers the variety of semigroups, one has the binary operation of multiplication defined on every semigroup."@en .
_:b17592453	<http://purl.org/dc/terms/bibliographicCitation>	"1988, A. Ya A\u01D0zenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, American Mathematical Society Translations, Series 2, Volume 139, page 11,"@en .
_:b17592449	<http://purl.org/dc/terms/bibliographicCitation>	"1961, Alfred Hoblitzelle Clifford, G. B. Preston, The Algebraic Theory of Semigroups, page 70:"@en .
_:b17592453	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#definition>	_:b17592455 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#definition>	_:b17592448 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#definition>	_:b6903705 .
_:b6903706	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592446 .
_:b17592454	<http://purl.org/dc/terms/bibliographicCitation>	"2012, Jorge Almeida, Benjamin Steinberg, \u201CSyntactic and Global Subgroup Theory: A Synthesis Approach\u201D, in Jean-Camille Birget, Stuart Margolis, John Meakin, Mark V. Sapir, editors, Algorithmic Problems in Groups and Semigroups, page 5:"@en .
_:b17592446	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592447 .
_:b17592445	<http://purl.org/dc/terms/bibliographicCitation>	"1961, Alfred Hoblitzelle Clifford, G. B. Preston, The Algebraic Theory of Semigroups, page 70:"@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b17592445 .
_:b17592447	<http://purl.org/dc/terms/bibliographicCitation>	"2012, Jorge Almeida, Benjamin Steinberg, \u201CSyntactic and Global Subgroup Theory: A Synthesis Approach\u201D, in Jean-Camille Birget, Stuart Margolis, John Meakin, Mark V. Sapir, editors, Algorithmic Problems in Groups and Semigroups, page 5:"@en .
_:b17592446	<http://purl.org/dc/terms/bibliographicCitation>	"1988, A. Ya A\u01D0zenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, American Mathematical Society Translations, Series 2, Volume 139, page 11,"@en .
_:b17592452	<http://purl.org/dc/terms/bibliographicCitation>	"2012, Jorge Almeida, Benjamin Steinberg, \u201CSyntactic and Global Subgroup Theory: A Synthesis Approach\u201D, in Jean-Camille Birget, Stuart Margolis, John Meakin, Mark V. Sapir, editors, Algorithmic Problems in Groups and Semigroups, page 5:"@en .
_:b6903708	<http://purl.org/dc/terms/bibliographicCitation>	"2012, Jorge Almeida, Benjamin Steinberg, \u201CSyntactic and Global Subgroup Theory: A Synthesis Approach\u201D, in Jean-Camille Birget, Stuart Margolis, John Meakin, Mark V. Sapir, editors, Algorithmic Problems in Groups and Semigroups, page 5:"@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b6903706 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b6903707 .
_:b17592455	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"(mathematics) Any set for which there is a binary operation that is closed and associative."@en .
_:b17592445	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S."@en .
_:b6903706	<http://purl.org/dc/terms/bibliographicCitation>	"1961, Alfred Hoblitzelle Clifford, G. B. Preston, The Algebraic Theory of Semigroups, page 70:"@en .
_:b17592451	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups."@en .
_:b17592448	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"(mathematics) Any set for which there is a binary operation that is closed and associative."@en .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://www.w3.org/2004/02/skos/core#example>	_:b6903708 .
<http://kaiko.getalp.org/dbnary/eng/__ws_1_semigroup__Noun__1>	<http://kaiko.getalp.org/dbnary#hyponym>	<http://kaiko.getalp.org/dbnary/eng/monoid> .
_:b6903707	<http://purl.org/dc/terms/bibliographicCitation>	"1988, A. Ya A\u01D0zenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, American Mathematical Society Translations, Series 2, Volume 139, page 11,"@en .
_:b17592447	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If one considers the variety of semigroups, one has the binary operation of multiplication defined on every semigroup."@en .
_:b17592450	<http://www.w3.org/1999/02/22-rdf-syntax-ns#value>	"If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S."@en .