In this paper, the notion of a Rickart residuated lattice is introduced and investigated. A
residuated lattice is called Rickart if any its coannulet is generated by a complemented …

This paper applies a combination of algebraic and topological methods to obtain new and
structural results on mp-and purified residuated lattices. It is demonstrated that mp …

All rings considered in this paper are commutative with unity. A ring R is called a PF-ring if
every principal ideal a R is a flat R-module, and it is called a PP-ring if every principal ideal a …

The aim of this paper is twofold. Firstly, to give short proofs of the celebrated results of Rudd
(1970), De Marco (1972), Brookshear (1977), Neville (1990), and Vechtomov (1996) with the …

Let R be a commutative ring with unity. In this paper, we prove that R is an almost PP–PM–
ring if and only if R is an exchange PF–ring. Let X be a completely regular Hausdorff space …

This paper studies a fascinating type of filter in residuated lattices, the so-called pure filters.
A combination of algebraic and topological methods on the pure filters of a residuated lattice …

Let us consider the function σ, which maps elements from the group G to the group of
automorphisms of the ring R. In this paper, we are studying new conditions under which the …

This paper is devoted to the study of a fascinating class of residuated lattices, the so-called
mp-residuated lattice, in which any prime filter contains a unique minimal prime filter. A …

Let R be a commutative ring with unity. In this paper, we prove that R is an almost PP-PM-
rlng if and only if R is an exchange PF-rlng. Let X be a completely regular Hausdorff space …

Let R⊆ T be an extension of commutative rings with identity and H (R, T)(respectively, h (R,
T)) the composite Hurwitz series ring (respectively, composite Hurwitz polynomial ring). In …