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- Eric Jespers, Jan Okninski
- 2007

Abstract It is shown that a semigroup S is finitely generated whenever the semigroup algebra K[S] is right Noetherian and has finite Gelfand–Kirillov dimension or S is a Malcev nilpotent semigroup.… (More)

Several aspects of relations between braces and non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation are discussed and many consequences are derived. In particular, for each… (More)

- Eric Jespers, Jan Okninski
- 1994

Let M be a finite monoid of Lie type (these are the finite analogues of linear algebraic monoids) with group of units G. The multiplicative semigroup .4 (F) , where F is a finite field, is a… (More)

It is shown that square free set theoretic involutive non-degenerate solutions of the Yang-Baxter equation whose associated permutation group (referred to as an involutive Yang-Baxter group) is… (More)

- Jan Okninski
- 1998

- Jan Okninski, A. Salwa
- 1995

Abstract It is shown that a finitely generated linear semigroup T ⊆ GL ( n , K ) with no free non-commutative subsemigroups generates a nilpotent-by-finite subgroup of GL ( n , K ). This extends the… (More)

A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is constructed. All these solutions are strong twisted unions of multipermutation solutions of… (More)

- Jan Okninski
- 1984

Abstract Any algebra of finite representation type has a finite number of two-sided ideals. But there are stronger finiteness conditions that should be considered here. We consider finite-dimensional… (More)