75 citations · 168 across the 22 of their papers we have counts for
25 papers
Enumerating AG-monoids algebraically
Muhammad Shah, S. Shpectorov
An AG-monoid is an AG-groupoid (a groupoid satisfying the identity called left invertive law ) and having a left identiy. In this paper we enumerate AG-monoids algebra…
Axial algebras of Jordan and Monster type
Justin McInroy, Sergey Shpectorov
Axial algebras are a class of non-associative commutative algebras whose properties are defined in terms of a fusion law. When this fusion law is graded, the algebra has a naturall…
From forbidden configurations to a classification of some axial algebras of Monster type
Justin McInroy, Sergey Shpectorov
Ivanov introduced the shape of a Majorana algebra as a record of the -generated subalgebras arising in that algebra. As a broad generalisation of this concept and to free it fro…
Split spin factor algebras
J. McInroy, S. Shpectorov
Motivated by Yabe's classification of symmetric -generated axial algebras of Monster type, we introduce a large class of algebras of Monster type , generalisin…
2-generated axial algebras of Monster type
Clara Franchi, Mario Mainardis, Sergey Shpectorov
In this paper we prove that -generated primitive axial algebras of Monster type over a ring in which and are invertible can be generated as -module by $…
2-generated axial algebras of Monster type
Clara Franchi, Mario Mainardis, Sergey Shpectorov
We provide the basic setup for the project, initiated by Felix Rehren, aiming at classifying all 2-generated axial algebras of Monster type over a field . Using…