zbMath0826.17002MaRDI QIDQ4300256
G. P. Kukin, Leonid A. Bokut'
Publication date: 1 August 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)
Identities, free Lie (super)algebras (17B01)
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)
Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)
Quasivarieties and varieties of groups (20E10)
Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)
Research exposition (monographs, survey articles) pertaining to group theory (20-02)
Word problems (aspects of algebraic structures) (08A50)
Algorithmic problems for differential polynomial algebras,
Finitely presented nilsemigroups: complexes with the property of uniform ellipticity,
Gröbner-Shirshov bases for some Lie algebras,
Finite presentability of generalized Bruck–Reilly ∗-extension of groups,
A right normed basis for free Lie algebras and Lyndon-Shirshov words,
Gröbner–Shirshov bases theory for Leibniz superalgebras,
The number of homomorphic images of certain Golod groups and algebras,
Free Rota-Baxter systems and a Hopf algebra structure,
Almost primitive elements of free nonassociative algebras of small ranks,
Primitive and almost primitive elements of Schreier varieties,
Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras,
Group and Lie algebra filtrations and homotopy groups of spheres,
Unions of parafree Lie algebras,
Finitely presented metabelian restricted Lie algebras,
HNN-extension of involutive multiplicative Hom-Lie algebras,
A semigroup of paths on a sequence of uniformly elliptic complexes,
Free Lie differential Rota–Baxter algebras and Gröbner–Shirshov bases,
Soluble product of parafree Lie algebras and its residual properties,
Weak commutativity and nilpotency,
Gröbner-Shirshov bases for extended modular, extended Hecke, and Picard groups.,
Gröbner-Shirshov bases for semirings.,
Some new results on Gröbner–Shirshov bases for Lie algebras and around,
Generalized anti-commutative Gröbner-Shirshov basis theory and free Sabinin algebras,
Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras,
Composition-diamond lemma for associative conformal algebras.,
Automorphisms of the endomorphism semigroups of free linear algebras of homogeneous varieties,
Growth of subalgebras and subideals in free Lie algebras,
Duality for Hopf algebroids,
Gröbner-Shirshov bases for Lie algebras over a commutative algebra,
Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras,
New approaches to plactic monoid via Gröbner-Shirshov bases.,
On subalgebras of a Lie algebra with one defining relation,
Test elements and retracts of free Lie algebras‡,
Tree polynomials and non-associative Gröbner bases,
Non-associative Gröbner bases,
Gröbner-Shirshov basis for the singular part of the Brauer semigroup,
Unnamed Item,
Gröbner–Shirshov bases for symmetric brace algebras,
Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras.,
HNN-extensions of Lie algebras,
Gröbner-Shirshov basis of the Adyan extension of the Novikov group.,
Gröbner-Shirshov bases for quantum enveloping algebras,
Subalgebras of free leibniz algebras,
On the commutator subgroup of a right-angled Artin group,
Filtrations and distortion in infinite-dimensional algebras.,
The Freiheitssatz for Poisson algebras,
The Dehn function of the generalized Thompson group is quadratic.,
Gröbner–Shirshov bases and their calculation,
A new Composition-Diamond lemma for associative conformal algebras,
Gröbner-Shirshov bases for Rota-Baxter algebras.,
Skew primitive elements in Hopf algebras and related identities,
Automorphisms of the category of free Lie algebras,
Generic, almost primitive and test elements of free Lie algebras,
Automorphic orbits in free non-associative algebras,
Primitive elements and automorphisms of free algebras of Schreier varieties,
Unnamed Item,
Gröbner–Shirshov bases for brace algebras,
UNDECIDABILITY OF THE FIRST ORDER THEORIES OF FREE NONCOMMUTATIVE LIE ALGEBRAS,
Test Sets and Test Rank of a Free Metabelian Lie Algebra,
Brunnian braids and Lie algebras.,
Centralizers in Lie algebras,
Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators.,
A derivation HNN construction for Lie algebras,
On Lie $p$-algebras of cohomological dimension one,
Sufficiency Conditions for Bokut' Normal Forms,
Gröbner–Shirshov bases for commutative dialgebras,
Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property,
Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.,
Schreier rewriting beyond the classical setting.,
Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras,
Gröbner-Shirshov Bases of the Generalized Bruck-Reilly ∗-Extension,
The inversion height of the free field is infinite.
