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Algebra operations as natural transformations

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#group-theory #category-theory #universal-algebra #natural-transformations
66
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General categorical notion of "structure induced by a map"?

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#abstract-algebra #general-topology #category-theory #universal-algebra
64
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Subdirectly irreducible algebra of language F with cardinality $\geq 2^\kappa$

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#cardinals #universal-algebra
204
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Is there a way to syntactically characterize homomorphic images and products?

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#reference-request #first-order-logic #predicate-logic #model-theory #universal-algebra
109
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Is there a standard formulation of a 'null element'?

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#abstract-algebra #elementary-set-theory #reference-request #universal-algebra
94
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Do the quasiverbal subgroups always exist?

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#abstract-algebra #group-theory #normal-subgroups #universal-algebra #verbal-subgroups
62
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Are upper quasiverbal and lower quasiverbal subgroups always the same subgroup?

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#abstract-algebra #group-theory #universal-algebra #combinatorial-group-theory #verbal-subgroups
48
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Generalising idea of projection of continuous laticces into any category

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#category-theory #lattice-orders #universal-algebra #universal-property
218
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Does every universal algebra have the universal mapping property for the class generated by itself?

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#proof-verification #universal-algebra #universal-property
231
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Relative strength and propositional indistinguishability of non-distributive lattices

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#abstract-algebra #logic #lattice-orders #universal-algebra #nonclassical-logic
78
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free objects book recommendation

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#abstract-algebra #universal-algebra #universal-property
96
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Does $\Sigma$ generate the variety of all groups?

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#group-theory #finite-groups #normal-subgroups #universal-algebra #infinite-groups
132
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Replacing Constants with Unary Functions

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#first-order-logic #universal-algebra #algebraic-logic
3.9k
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When is a bijective homomorphism an isomorphism?

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#category-theory #group-homomorphism #universal-algebra
83
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What does it mean if algebra $A$ is free in the variety $V(A)$

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#universal-algebra #congruence-relations

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