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41 455 (0,156s)

Result

On finite completely simple semigroups having no finite basis of identities

The purpose of this note is to provide a correct proof of the fact that there exist finite completely simple semigroups having no finite basis of identities....

Pure mathematics

  • 2018
  • Jimp
  • Link
Result

On bases of identities of finite central locally orthodox completely regular semigroups

It has been known for a long time that every finite orthodox completely regular semigroup has a finite basis of identities, and that every finite central completely simple semigroup has a fini...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

About the power pseudovariety PCS

The power pseudovariety PCS, that is, the pseudovariety of finite semigroups generated by all power semigroups of finite completely simple semigroups has recently simple semigroups

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

An upper bound for the power pseudovariety PCS

It is a celebrated result in finite semigroup theory that the equality of pseudovarieties PG=BG holds, where PG is the pseudovariety of finite monoids generated by all power monoids of finite groups and BG is the p...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Regular solutions of language inequalities and well quasi-orders

By means of constructing suitable well quasi-orders of free monoids we prove that all maximal solutions of certain systems of language inequalities are regular. This way we deal with a wide class of systems of inequalities where all constants are lan...

BA - Obecná matematika

  • 2005
  • Jx
Result

Regular solutions of language inequalities and well quasi-orders

By means of constructing suitable well quasi-orders of free monoids we prove that all maximal solutions of certain systems of language inequalities are regular. This way we deal with a wide class of systems of inequalities where all constants are lan...

BA - Obecná matematika

  • 2004
  • D
Result

Finite orthodox locally idempotent semigroups having no finite basis of biidentities

A finitely generated existence variety of orthodox locally idempotent semigroups is constructed which has no finite basis of biidentities within the class of all orthodox semigroups. In addition, ordinary semig...

BA - Obecná matematika

  • 2003
  • Jx
Result

On bases of identities of finite inverse semigroups with solvable subgroups

It is shown that every finite inverse semigroup having only solvable subgroups, viewed as a semigroup with the additional unary operation of inversion, has no finite basis of identities, unless it is a strict inver...

BA - Obecná matematika

  • 2003
  • Jx
Result

Semigroup Structure of Sets of Solutions to Equation X^m = X^s

of semigroups of the corresponding rings. In case of residually finite PID’s we employWe describe the semigroup and group structure of the set of solutions to equation X^m = X^s over the multiplicative semigroups ...

Pure mathematics

  • 2018
  • Jost
  • Link
Result

Uncountably many varieties of completely simple semigroups with metabelian subgroups

of completely simple semigroups with metabelian subgroups has the cardinality of near varieties of idempotent generated completely simple semigroups. The mapping assigning to every variety V of completely simp...

BA - Obecná matematika

  • 2006
  • Jx
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