19 citations · 35 across the 4 of their papers we have counts for
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math.QA2004★ 2 cited
Braid semistatistics and doubly regular R-matrix
S. Duplij, W. Marcinek
We introduce "noninvertible" generalization of statistics - semistatistics replacing condition when double exchanging gives identity to "regularity" condition. Then in categorical…
math.QA2003★ 19 cited
Basic concepts of ternary Hopf algebras
Andrzej Borowiec, Wieslaw A. Dudek, Steven Duplij
The theory of ternary semigroups, groups and algebras is reformulated in the abstract arrow language. Then using the reversing arrow ansatz we define ternary comultiplication, bial…
math.QA2001
Regular graded algebras and obstructed categories with duality
Steven Duplij, Wladyslaw Marcinek
Regular and higher regular graded algebras (in simplest case satisfying Von Neumann regularity instead of anticommutativity) are introduced and their proper…