Unit forms appear in different fields of mathematics. Our motivation comes from unit forms
associated to algebraic structures such as Lie algebras, finite dimensional algebras and …

Journal Algebra Discrete Math. Page 1 Journal Algebra Discrete Math. Algebra and Discrete
Mathematics RESEARCH ARTICLE Number 2. (2005). pp. 20 – 35 cO Journal “Algebra and …

The purpose of this article is to determine the representation type for all of the Hecke
algebras of classical type. To do this, we combine methods from our previous work, which is …

An integral quadratic form q: ℤ n→ ℤ is usually identified with a bilinear form 𝕓∨ q: ℤ n× ℤ
n→ ℤ satisfying q (x)= 𝕓∨ q (x, x) for any vector x in ℤ n, and such that its Gram matrix with …

The units forms are algebraic expressions that have important role in representation theory
of algebras. We identified that existing algorithms have exponential time complexity for …

Let A be a finite dimensional algebra over an algebraically closed field k. In recent years the
consideration of the derived category D"(A) of the category mod A of (left-) modules over A …

Introduction. Let A be a finite-dimensional algebra over an algebraically closed field k. We
denote by modA the category of finite-dimensional left A-modules and by Db (A) the derived …

In the paper we consider the Tits form of (finite and infinite) posets. We call such a form
critical (with respect to positivity) if it is not positive but each of its proper subform is positive …

We say that an integral quadratic formq: Z n→ Z of the shape q (x)=∑ ni= 1q ix (i) 2+∑ i< jq
ijx (i)×(j) is a semi-unit form ifqi≤ 1 for every 1≤ i≤ n. A deflation forqis the linear …

An integral quadratic form q: Zn Ñ Z is usually identified with a bilinear form qq: Zn ˆ Zn Ñ Z
satisfying qpxq “qqpx, xq for any vector x in Zn, and such that its Gram matrix with respect to …