2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70528We introduce "noninvertible" generalization of statistics - semistatistics replacing condition when double exchanging gives identity to "regularity" condition. Then in categorical language we correspondingly generalize braidings and the quantum Yang-Baxter equation. We define the doubly regular R-matrix and introduce obstructed regular bialgebras.13 pages, AmSLaTeX2e, see W. Marcinek (1952-2003) Memorial Page at http://www.math.uni-mannheim.de/~duplij/marcinekQuantum AlgebraOther Condensed MatterHigh Energy Physics - TheoryMathematical PhysicsCategory TheoryQuantum Physicstext