Publications of Steven Duplij in 2001

1. Duplij S., Marcinek W. Noninvertibility, semisupermanifolds and categories regularization // Noncommutative Structures in Mathematics and Physics. S. Duplij, J. Wess, Eds - Dordrecht: Kluwer, 2001. - P. 125–140.

2. Duplij S. Semigroups of supermatrices and one-parameter idempotent superoperators //Journal of Kharkov National University, ser. Nuclei, Particles and Fields. - 2001. - V. 510. - N 1(13). - P. 11–23.

3. Duplij S., Frydryszak A. Supersymmetry, nontrivial fermionic shell and nilpotent mechanics //Journal of Kharkov National University, ser. Nuclei, Particles and Fields. - 2001. - V. 510. - N 1(13). - P. 24–30.

4. Duplij S. On regular superalgebras and obstructed categories // Journal of Kharkov National University, ser. Nuclei, Particles and Fields. -2001. - V. 521. - N 2(14). - P. 7–12.

5. Duplij S., Li F. On regular solutions of quantum Yang-Baxter equation and weak Hopf algebras //Journal of Kharkov National University, ser. Nuclei, Particles and Fields. - 2001. - V. 521. - N 2(14). -P. 15–30.

6. Duplij S. On supermatrix operator semigroups //Quasigroups and Related Systems. - 2000/2001. - V. 7. - N 1. - P. 71–98.

7. Duplij S., Marcinek W. Semisupermanifolds and regularization of categories, modules, algebras and Yang- Baxter equation // Supersymmetry and Quantum Field Theory. - Amsterdam: Elsevier Science Publishers, 2001. Nucl. Phys. B, Suppl.- V. 102&103 - P. 110–115.

8. Duplij S., Li F. Weak Hopf algebras and singular solutions of quantum Yang- Baxter equation. - Kharkov: 2001. - 24 p. (Preprint / Kharkov National Univ., math. QA/0105064).

9. Duplij S. Ternary Hopf algebras // Symmetry in Nonlinear Mathematical Physics . - Kiev: Institute of Mathematics , 2001- P. 25-34 .

10. Duplij S., Li F. Regular solutions of quantum Yang-Baxter equation from weak Hopf algebras // Czech. J. Phys. - 2001. - V. 51 . N 12. - P. 1306–1311.

11. Borowiec A., Dudek W., Duplij S. Basic concepts of ternary H opf algebras // Journal of Kharkov National University, ser. Nuclei, Particles and Fields . - 2001. - V. 529 . - N 3(15). - P. 21–29 .