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Pointed Hopf Algebras of Discrete Corepresentation Type
Miodrag Iovanov, Emre Sen, Alexander Sistko +1
We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras , we explicitly determine th…
A new characterisation of quasi-hereditary Nakayama algebras and applications
René Marczinzik, Emre Sen
We call a finite dimensional algebra A S-connected if the projective dimensions of the simple A-modules form an interval. We prove that a Nakayama algebra A is S-connected if and o…
Delooping Level of Nakayama algebras
Emre Sen
We give another proof of the recent result of Ringel, which asserts equality between the finitistic dimension and delooping level of Nakayama algebras. The main tool is syzygy filt…
On the Homology of Nilpotent k-ary Lie Algebras
Emre Sen
We introduce nilpotent k-ary Lie algebras including analogues of Heisenberg Lie algebras and free nilpotent Lie algebras. We study homology of k-ary nilpotent Lie algebras by using…
Weak Exceptional Sequences
Emre Sen
We introduce weak exceptional sequence of modules which can be viewed as another modification of the standard case, different than the works of Igusa-Todorov \cite{Igusa-Todorov} a…
Exceptional Sequences and Idempotent Functions
Emre Sen
We prove that there is a one to one correspondence between the following three sets: idempotent functions on a set of size , complete exceptional sequences of linear radical squ…