A Mackey Imprimitivity Theory for Algebraic Groups.
A Magnus-Witt type isomorphism for non-free groups.
A matrix characterization of the maximal groups in
A maximal chain of principal ideals in the semigroup of binary relations on a finite set.
A Menon-type identity using Klee's function
Menon’s identity is a classical identity involving gcd sums and the Euler totient function . A natural generalization of is the Klee’s function . We derive a Menon-type identity using Klee’s function and a generalization of the gcd function. This identity generalizes an identity given by Y. Li and D. Kim (2017).
A model for the universal space for proper actions of a hyperbolic group.
A modular compactification of the general linear group.
A Moebius-Like Formula in the Schubert Calcalus.
A multiplication of -varieties of orthodox semigroups
We define semantically a partial multiplication on the lattice of all e–varieties of regular semigroups. In the case that the first factor is an e–variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.
A multiplication of e-varieties of regular -solid semigroups by inverse semigroup varieties
A multiplication of e-varieties of regular -solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.
A Multiplication Theorem for Strong Starters.
A Multiplication Theorem for Strong Starters. (Short Communication).
A natural framing of knots.
A new algebraic invariant for weak equivalence of sofic subshifts
It is studied how taking the inverse image by a sliding block code affects the syntactic semigroup of a sofic subshift. The main tool are ζ-semigroups, considered as recognition structures for sofic subshifts. A new algebraic invariant is obtained for weak equivalence of sofic subshifts, by determining which classes of sofic subshifts naturally defined by pseudovarieties of finite semigroups are closed under weak equivalence. Among such classes are the classes of almost finite type subshifts...
A new approach in the theory of orthodox semigroups.
A new approach to orders in simple rings with minimal one-sided ideals.
A New Bound for the Genus of a Nilpotent Group
A new characterization for the simple group by order and some character degrees
Let be a finite group and a prime number. We prove that if is a finite group of order such that has an irreducible character of degree and we know that has no irreducible character such that , then is isomorphic to . As a consequence of our result we prove that is uniquely determined by the structure of its complex group algebra.
A new characterization of Mathieu groups
Let be a finite group and the set of numbers of elements with the same order in . In this paper, we prove that a finite group is isomorphic to , where is one of the Mathieu groups, if and only if the following hold: (1) , (2) .
A new characterization of some alternating and symmetric groups.