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BIRKHOFF VARIETY THEOREM FOR MONADIC ALGEBRAS OVER EPIREFLECTIVE SUBCATEGORIES OF ¿-MODELS AND ITS CONNECTION WITH A PROBLEM OF THE EXISTENCE OF NONSURJECTIVE EPIMORPHiSMS

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DOI10.1515/DEMA-1984-0414zbMath0598.08009OpenAlexW2783449121MaRDI QIDQ3731655

Grzegorz Jarzembski, Mariusz Lemanczyk

Publication date: 1984

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-1984-0414


zbMATH Keywords

Birkhoff's variety theoremexistence of non-surjective episfinitely definable quasivarietiesmonadic algebras over \(\Sigma \) -categories


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Theories (e.g., algebraic theories), structure, and semantics (18C10) Quasivarieties (08C15) Categories of algebras (08C05) Axiomatic model classes (08C10) Word problems (aspects of algebraic structures) (08A50)








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