http://hdl.handle.net/123456789/4382 2026-04-15T22:52:29Z 2026-04-15T22:52:29Z Bi, N. K. http://hdl.handle.net/123456789/4522 2020-01-08T15:07:00Z 2018-01-01T00:00:00Z

Gram matrices and Stirling numbers of a class of diagram algebras Bi, N. K. In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z2-relations and the partition algebras. (s1, s2, r1, r2, p1, p2)-Stirling numbers of the second kind are also introduced and their identities are established. In this paper, we prove that the Gram matrix is similar to a matrix which is a direct sum of block submatrices. As a consequence, the semisimplicity of a signed partition algebra is established. Bi N. K. Gram matrices and Stirling numbers of a class of diagram algebras / N. K. Bi, M. Parvathi // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. - Рp.215- 256

2018-01-01T00:00:00Z Protasov, I . http://hdl.handle.net/123456789/4520 2020-01-08T15:06:15Z 2018-01-01T00:00:00Z

Some more algebra on ultrafilters in metric spaces Protasov, I . We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech compactification of a discrete group as a right topological semigroup . Our approach is based on the concept of parallelity introduced in the context of balleans in. Protasov I. Some more algebra on ultrafilters in metric spaces / I . Protasov // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. - Рp. 286 - 293

2018-01-01T00:00:00Z Movsisyan, Yu. http://hdl.handle.net/123456789/4516 2020-01-08T15:06:14Z 2018-01-01T00:00:00Z

On functional equations and distributive second order formulae with specialized quantifiers Movsisyan, Yu. The structure of invertible algebras with distributive second order formulae with specialized quantifiers is given. Asa consequence, the applications for solutions of the some functional equations of distributivity on quasigroups are provided. Movsisyan Yu . On functional equations and distributive second order formulae with specialized quantifiers / Yu . Movsisyan // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. - Рp. 269- 285

2018-01-01T00:00:00Z Skochko, V. http://hdl.handle.net/123456789/4515 2020-01-08T15:06:59Z 2018-01-01T00:00:00Z

The growth function of the adding machine Skochko, V. We compute the growth function of the generalized adding machine and show that its generating function is not algebraic. V. Skochko The growth function of the adding machine / V. Skochko // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. - Рp. 303 - 310

2018-01-01T00:00:00Z