17 citations · 77 across the 48 of their papers we have counts for
37 papers · 1 filter
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 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…
Some examples of BL-algebras using commutative rings
Cristina Flaut, Dana Piciu
The aim of this paper is to analize the structure of BL-algebras using commutative rings. From computational considerations, we are very interested in the finite case. We present n…
Connections between commutative rings and some algebras of logic
Cristina Flaut, Dana Piciu
In this paper using the connections between some subvarieties of residuated lattices, we investigated some properties of the lattice of ideals in commutative and unitary rings. We…