1 citations · 1 across the 7 of their papers we have counts for
7 papers
Differential graded Hopf algebra structure on free symmetric cosimplicial operads
Calvin Tcheka, Batkam Mbatchou V. Jacky, Guy R. Biyogmam
Motivated by the recent work of Batkam-Tcheka on pointed multiplicative operads, we construct in this paper new chain complex algebras and two distinct bicomplex algebra structures…
Descending Chain Conditions on Leibniz Algebras
Calvin Tcheka, Guy R. Biyogmam, Bell Bogmis N. +1
In this work, we introduce a new class of Leibniz algebras, called quasi-Artinian Leibniz algebras, which generalizes the minimal condition on ideals. Furthermore, we provide some…
Upper bounds on the dimension of the Schur -multiplier of -nilpotent Leibniz -algebras
Narcisse G. Bell Bogmis, Guy R. Biyogmam, Hesam Safa +1
The Schur -multiplier of Leibniz algebras is the Schur multiplier of Leibniz algebras defined relative to the Liezation functor. In this paper, we study upper bounds…
On central characteristic ideals and quasi-Noetherian Leibniz algebras
Narcisse G. Bell Bogmis, Calvin Tcheka, Guy R. Biyogmam
In this paper, we define on one hand, the notions of characteristics as well as central characteristics ideals of a given Leibniz algebra g and provide a necessary condition under…
Posets, their Incidence Algebras and Relative Operads, and the Cohomology Comparison Theorem
Vane Jacky, Batkam Mbatchou, Frédéric Patras +1
Motivated by various developments in algebraic combinatorics and its applications, we investigate here the fine structure of a fundamental but little known theorem, the Gerstenhabe…
Simplicial Structure on Connected Multiplicative Operads
Vane Jacky III Batkam Mbatchou, Calvin Tcheka
In these notes, we define a new simplicial structure on a connected multiplicative operad and call it connected multiplicative simplicial operad (for short; simplicial operad). Nex…
From Trigroups To Leibniz 3-Algebras
Guy R. Biyogmam, Calvin Tcheka
In this paper, we study the category of trigroups as a generalization of the notion of digroup [4] and analyze their relationship with 3-racks [1] and Leibniz 3-algebras [6]. Trigr…