http://dspace.nbuv.gov.ua:80/handle/123456789/188576 2026-04-21T07:51:07Z 2026-04-21T07:51:07Z Zhuchok, Yu.V. http://dspace.nbuv.gov.ua:80/handle/123456789/188723 2023-03-13T17:16:24Z 2021-01-01T00:00:00Z

Free abelian trioids Zhuchok, Yu.V. We construct a free abelian trioid and describe the least abelian congruence on a free trioid.

2021-01-01T00:00:00Z Tchamna, S. http://dspace.nbuv.gov.ua:80/handle/123456789/188722 2023-03-13T17:15:35Z 2021-01-01T00:00:00Z

Cancellation ideals of a ring extension Tchamna, S. We study properties of cancellation ideals of ring extensions. Let R ⊆ S be a ring extension. A nonzero S-regular ideal I of R is called a (quasi)-cancellation ideal of the ring extension R ⊆ S if whenever IB = IC for two S-regular (finitely generated) R-submodules B and C of S, then B = C. We show that a finitely generated ideal I is a cancellation ideal of the ring extension R ⊆ S if and only if I is S-invertible.

2021-01-01T00:00:00Z Singh, G. http://dspace.nbuv.gov.ua:80/handle/123456789/188721 2023-03-13T17:14:56Z 2021-01-01T00:00:00Z

Diagonal torsion matrices associated with modular data Singh, G. Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL₂(Z). Cuntz (2007) defined isomorphic integral modular data. Here we discuss isomorphic integral and non-integral modular data as well as non-isomorphic but closely related modular data. In this paper, we give some insights into diagonal torsion matrices associated to modular data.

2021-01-01T00:00:00Z Rodríguez-Nieto, J.G. Salazar-Díaz, O.P. Velásquez, R. http://dspace.nbuv.gov.ua:80/handle/123456789/188720 2023-03-13T17:14:17Z 2021-01-01T00:00:00Z

The structure of g-digroup actions and representation theory Rodríguez-Nieto, J.G.; Salazar-Díaz, O.P.; Velásquez, R. The aim of this paper is to propose two possible ways of defining a g-digroup action and a first approximation to representation theory of g-digroups.

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