THE GROUP OF AUTOMORPHISMS OF THE SEMIGROUP OF ENDOMORPHISMS OF FREE COMMUTATIVE AND FREE ASSOCIATIVE ALGEBRAS

DOI10.1142/S0218196707003949zbMath1151.13303arXivmath/0504015MaRDI QIDQ5386946

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Publication date: 14 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504015

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Morphisms of commutative rings (13B10)

Related Items (7)

Automorphisms of the endomorphism semigroup of a free algebra ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ Multi-sorted logic and logical geometry: some problems. ⋮ Automorphisms of the semigroup \(\mathrm{End}(K[x_1,\dots,x_n)\).] ⋮ Automorphisms of the endomorphism semigroup of a polynomial algebra. ⋮ SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY ⋮ The largest subsemilattices of the endomorphism monoid of an independence algebra.

Cites Work

• Varieties of algebras and algebraic varieties
• Algebraically closed skew fields
• Automorphisms of categories of free algebras of some varieties
• Algebraic geometry in varieties of algebras with the given algebra of constants
• Automorphisms of the category of free Lie algebras
• Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules∗
• GEOMETRIC EQUIVALENCE OF ALGEBRAS
• ON AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE UNIVERSAL ALGEBRA

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