activity
20242026
collaborators

6 papers

cs.IT2026

Linear and cyclic codes over some special rings

Cristina Flaut, Bianca Liana Bercea-Straton

In this paper, we describe linear and cyclic codes over the rings of the form , where is a prime nu…

math.LO2025

Some applications of finite BL-algebras

Cristina Flaut, Dana Piciu, Bianca Liana Bercea-Straton

In this paper we present an encryption/decryption algorithm which use properties of finite MV-algebras, we proved that there are no commutative and unitary rings R such that Id (R)…

math.RA2025

Some remarks regarding special elements in algebras obtained by the Cayley-Dickson process over Zp

Cristina Flaut, Andreea Baias

In this paper we provide some properties of k-potent elements in algebras obtained by the Cayley-Dickson process over Zp. Moreover, we find a structure of nonunitary ring over Fibo…

math.RA2024

The number of k-potent elements in the quaternion algebra HZp

Cristina Flaut, Andreea Baias

In this paper we count the number of k-potent elements over HZp , the quaternion algebra over Zp, and we give a descriptive formula for the general case. For k in {3, 4, 5}, we giv…

math.RA2024

Commutative rings behind divisible residuated lattices

Cristina Flaut, Dana Piciu

Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek's basic logic with an important significance in the study of fuzzy log…

math.RA2024

Remarks regarding some special matrices

Cristina Flaut, Andreea Baias

In this paper, by using matix representation for quaternions andoctonions, we provide a procedure to obtain some example of k potent matrices of order 4 or 8, over the real field o…