Colimits of representable algebra-valued functors.
Bergman, George M. (2008)
Theory and Applications of Categories [electronic only]
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Bergman, George M. (2008)
Theory and Applications of Categories [electronic only]
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Trnková, V, Sichler, J. (2008)
Theory and Applications of Categories [electronic only]
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Jiří Adámek, Lurdes Sousa, Walter Tholen (2000)
Commentationes Mathematicae Universitatis Carolinae
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Categories whose Yoneda embedding has a left adjoint are known as total categories and are characterized by a strong cocompleteness property. We introduce the notion of multitotal category by asking the Yoneda embedding to be right multiadjoint and prove that this property is equivalent to totality of the formal product completion of . We also characterize multitotal categories with various types of generators; in particular, the existence of dense generators is inherited by the...
Lutz Schröder, Horst Herrlich (2000)
Commentationes Mathematicae Universitatis Carolinae
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We study morphisms that are initial w.r.t. all functors in a given conglomerate. Several results and counterexamples are obtained concerning the relation of such properties to different notions of subobject. E.g., strong monomorphisms are initial w.r.t. all faithful adjoint functors, but not necessarily w.r.t. all faithful monomorphism-preserving functors; morphisms that are initial w.r.t. all faithful monomorphism-preserving functors are monomorphisms, but need not be extremal; and...
Radul, Taras (2001)
Revista Colombiana de Matemáticas
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Kuku, Aderemi (2006)
Beiträge zur Algebra und Geometrie
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Manes, Ernie, Mulry, Philip (2007)
Theory and Applications of Categories [electronic only]
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