Algebra and Discrete Mathematics. - № 2 (24). - 2017
http://hdl.handle.net/123456789/4548
2026-04-15T20:19:19ZOn locally finite groups whose cyclic subgroups are GNA-subgroups
http://hdl.handle.net/123456789/4568
On locally finite groups whose cyclic subgroups are GNA-subgroups
Pypka, A.A.
In this paper we obtain the description of locally finite groups whose cyclic subgroups are GNA-subgroups.
Pypka A.A. On locally finite groups whose cyclic subgroups are GNA-subgroups / A.A. Pypka // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 308-319
2017-01-01T00:00:00ZOn disjoint union of M-graphs
http://hdl.handle.net/123456789/4567
On disjoint union of M-graphs
Kozerenko, S.
Given a pair (X, σ) consisting of a finite tree X and its vertex self-map σ one can construct the corresponding Markov graph Γ(X, σ) which is a digraph that encodes σ-covering relation between edges in X. M-graphs are Markov graphs up to isomorphism. We obtain several sufficient conditions for the disjoint union of M-graphs to be an M-graph and prove that each weak component of M-graph is an M-graph itself.
Kozerenko S. On disjoint union of M-graphs / S. Kozerenko // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 262-273
2017-01-01T00:00:00ZLattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures
http://hdl.handle.net/123456789/4566
Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures
Kurdachenko, L. A; Subbotin, I. Ya.; Yashchuk, V. S.
In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and L-fuzzy rings where L is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions.
Kurdachenko L.A. Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures / L.A.Kurdachenko, I.Ya.Subbotin, V.S.Yashchuk // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 274-296
2017-01-01T00:00:00ZDickson’s theorem for Bol loops
http://hdl.handle.net/123456789/4565
Dickson’s theorem for Bol loops
Movsisyan, Yu.
Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.
Movsisyan Yu. Dickson’s theorem for Bol loops / Yu. Movsisyan // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 297-301
2017-01-01T00:00:00Z