Equational theories of semigroups with involution.
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Publication:1946106
DOI10.1016/j.jalgebra.2012.06.021zbMath1294.20072OpenAlexW2007614225MaRDI QIDQ1946106
Karl Auinger, Igor Dolinka, Mikhail V. Volkov
Publication date: 17 April 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.06.021
involutory semigroupsfinite basis problemvarieties of semigroupsnonfinitely based varietiesexistence varietiespartition semigroups
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Cites Work
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- A new product of algebras and a type reduction theorem
- Regular semigroups: Amalgamation and the lattice of existence varieties
- Cellularity of diagram algebras as twisted semigroup algebras.
- A new approach in the theory of orthodox semigroups
- On cross semigroup varieties and related questions
- On groups in varieties of semigroups
- The bifree locally inverse semigroup on a set
- Identities satisfied by a finite ring
- The existence of free products in existence varieties of regular semigroups
- A quotient of the affine Hecke algebra in the Brauer algebra
- Cellular algebras
- The structure of the partition algebras
- Krohn-Rhodes complexity of Brauer type semigroups.
- Matrix identities involving multiplication and transposition.
- On presentations of Brauer-type monoids.
- \(\mathcal L\)- and \(\mathcal R\)-cross-sections in the Brauer semigroup.
- Bases for equational theories of semi-groups
- Identical relations in finite groups
- ENDOMORPHISMS OF , , AND
- Pseudovarieties generated by Brauer type monoids
- Finite axiomatizability for equational theories of computable groupoids
- The Algebra of Adjacency Patterns: Rees Matrix Semigroups with Reversion
- Presentation of the singular part of the Brauer monoid
- Identities for existence varieties of regular semigroups
- Structure of regular semigroups. I
- The natural partial order on a regular semigroup
- THE EXISTENCE OF E-FREE OBJECTS IN E-VARIETIES OF REGULAR SEMIGROUPS
- Equational Bases for Lattice Theories.
- A System of Bi-Identities for Locally Inverse Semigroups
- TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE
- Ideal Structure of the Kauffman and Related Monoids
- Varieties of groups
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem