Nakaoka and Palu introduced the notion of extriangulated categories by extracting the
similarities between exact categories and triangulated categories. In this paper, we study …

Using skew-symmetric matrices of infinite rank, the unfolding approach is extended from
skew-symmetrizable matrices to acyclic sign-skew-symmetric matrices. Applying this …

Our motivation is to build a systematic method in order to investigate the structure of cluster
algebras of geometric type. The method is given through the notion of mixing-type sub …

We study the cluster automorphism group Aut (A) of a coefficient free cluster algebra A of
finite type. A cluster automorphism of A is a permutation of the cluster variable set X that is …

We study the cluster automorphism group of a skew-symmetric cluster algebra with
geometric coefficients. We introduce the notion of gluing free cluster algebra, and show that …

In this paper, we give a complete classification of cotorsion pairs in a cluster category C of
type A∞∞ via certain configurations of arcs, called τ-compact Ptolemy diagrams, in an …

We formalize the way in which one can think about cluster algebras of infinite rank by
showing that every rooted cluster algebra of infinite rank can be written as a colimit of rooted …

Thyroid disease is the most common and frequently occurring endocrine disease. In recent
years, the incidence rate of thyroid diseases has increased in recent years due to the …

For a coefficient-free cluster algebra 𝒜, we study the cluster automorphism group Aut (𝒜)
and the automorphism group Aut (E 𝒜) of its exchange graph E 𝒜. We show that these two …

Following our previous work [18], we introduce the notions of partial seed homomorphisms
and partial ideal rooted cluster morphisms. Related to the theory of Green's equivalences …