An invitation to general algebra and universal constructions.

DOI10.1007/978-3-319-11478-1zbMath1317.08001OpenAlexW361203971MaRDI QIDQ743926

George M. Bergman

Publication date: 1 October 2014

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-11478-1

zbMATH Keywords

categoriesfree groupslatticesfunctorsGalois connectionsuniversal algebravarieties of algebrasordered setsgeneral algebrauniversal constructionscoalgebra objects

Mathematics Subject Classification ID

Structure theory of algebraic structures (08A05) Relational systems, laws of composition (08A02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general algebraic systems (08-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory (18-01) General theory of categories and functors (18Axx)

Related Items (35)

A comic page for the first isomorphism theorem ⋮ On functors between categories of modules over trusses ⋮ Models, coproducts and exchangeability: notes on states on Baire functions ⋮ Functional equations with division and regular operations ⋮ A uniform Birkhoff theorem ⋮ Biunit pairs in semiheaps and associated semigroups ⋮ A note on a free group. The decomposition of a free group functor through the category of heaps ⋮ Weakly idempotent lattices and bilattices, non-idempotent Plonka functions. ⋮ Relative annihilators in bounded commutative residuated lattices ⋮ Free limits of free algebras ⋮ Continuation sheaves in dynamics: sheaf cohomology and bifurcation ⋮ Unnamed Item ⋮ \(\mathcal{L}\)-fuzzy annihilators in residuated lattices ⋮ Sweedler theory of monads ⋮ The structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented ⋮ Artin theorem for semigroups ⋮ Prekernels of topologically axiomatized subcategories of concrete categories ⋮ Graded semigroups ⋮ Weighted fundamental group ⋮ Monographs, a category of graph structures ⋮ The plethory of operations in complex topological \(K\)-theory ⋮ A trustful monad for axiomatic reasoning with probability and nondeterminism ⋮ Free Vector Lattices and Free Vector Lattice Algebras ⋮ A set-theoretical representation for weakly idempotent lattices and interlaced weakly idempotent bilattices ⋮ Internal coalgebras in cocomplete categories: Generalizing the Eilenberg–Watts theorem ⋮ Trice-valued fuzzy sets: mathematical model for three-way decisions ⋮ Unnamed Item ⋮ From category \(\mathcal{O}^{\infty}\) to locally analytic representations ⋮ \(\Lambda \)-ultrametric spaces and lattices of equivalence relations ⋮ Some results relevant to embeddability of rings (especially group algebras) in division rings ⋮ Unnamed Item ⋮ Modules over trusses vs modules over rings: direct sums and free modules ⋮ Unnamed Item ⋮ On core quandles of groups ⋮ Bifold algebras and commutants for enriched algebraic theories

This page was built for publication: An invitation to general algebra and universal constructions.