Clones of Finite Idempotent Algebras with Strictly Simple Subalgebras

T Dent - 2011 - search.proquest.com
We determine the clone of a finite idempotent algebra [special characters omitted] that is not
simple and has a unique nontrivial subalgebra [special characters omitted] with more than …

Groupoids viewed as inverse semigroups

M Aukhadiev - arXiv preprint arXiv:1604.08585, 2016 - arxiv.org
A simple observation, showing that every groupoid becomes an inverse semigroup after
adding one element. In such inverse semigroups all idempotents are mutually orthogonal …

On matrix units of semisimple group algebras

G Olteanu, I Van Gelder - Communications in Algebra, 2023 - Taylor & Francis
We present two methods to explicitly compute complete sets of orthogonal primitive
idempotents in simple components of semisimple group algebras over finite Galois …

[PDF][PDF] Pseudo-amenability of Brandt semigroup algebras

MM Sadr - arXiv preprint arXiv:1907.12544, 2019 - arxiv.org
arXiv:1907.12544v1 [math.FA] 29 Jul 2019 Page 1 arXiv:1907.12544v1 [math.FA] 29 Jul 2019
PSEUDO-AMENABILITY OF BRANDT SEMIGROUP ALGEBRAS MAYSAM MAYSAMI SADR …

Module operator virtual diagonals on the Fourier algebra of an inverse semigroup

M Amini, R Rezavand - Semigroup Forum, 2018 - Springer
For an amenable inverse semigroup S with the set of idempotents E and a minimal
idempotent, we explicitly construct a contractive and positive module operator virtual …

Semiring identities in the semigroup

VY Shaprynskiǐ - arXiv preprint arXiv:2305.17466, 2023 - arxiv.org
The semigroup $ B_0 $ is the only, up to isomorphism, 4-element subsemigroup of the 5-
element Brandt semigroup $ B_2 $. Being an inverse semigroup, the semigroup $ B_2 $ can …

Some classes of operator algebras generated by idempotents

H Ghahramani, B Fadaee - موجک و جبر خطی, 2022‎ - wala.vru.ac.ir
The algebra A is generated by idempotents if the generated algebra by its idempotents
equal to A. In this paper we show that if N is a finite nest on a complex Hilbert space H, then …

Searching for groups related to pseudo-composition algebras

VA Afanasev - arXiv preprint arXiv:2405.15900, 2024 - arxiv.org
We study the class of idempotent-generated pseudo-composition algebras, which is a
subclass of the family of axial algebras. More specifically, we utilise the group-algebra …

Subgroups of free idempotent generated semigroups: full linear monoid

M Brittenham, SW Margolis, J Meakin - arXiv preprint arXiv:1009.5683, 2010 - arxiv.org
We develop some new topological tools to study maximal subgroups of free idempotent
generated semigroups. As an application, we show that the rank 1 component of the free …

Free idempotent generated semigroups: subsemigroups, retracts and maximal subgroups

Y Dandan, V Gould… - Communications in …, 2018 - Taylor & Francis
Let S be a subsemigroup of a semigroup T and let IG (E) and IG (F) be the free idempotent
generated semigroups over the biordered sets of idempotents of E of S and F of T …