2 citations · 3 across the 6 of their papers we have counts for
11 papers
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…
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…
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…
Some applications of fuzzy sets in residuated lattices
Cristina Flaut, Dana Piciu, Bianca Liana Bercea
In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory and lattice theory point of view. Ideals are important concepts in the theory of algebraic…
Remarks regarding some Algebras of Logic
Mariana Floricica Calin, Cristina Flaut, Dana Piciu
Algebras of Logic deal with some algebraic structures, often bounded lattices, considered as models of certain logics, including logic as a domain of order theory. There are well k…
Quaternion algebras and the generalized Fibonacci-Lucas quaternions
Cristina Flaut, Diana Savin
In this paper, we introduce the generalized Fibonacci-Lucas quaternions and we prove that the set of these elements is an order,in the sense of ring theory, of a quaternion algebra…