Violeta Leoreanu-Fotea
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Violeta Leoreanu-Fotea has a total of 40 co-authors. Here are the top co-authors by number of shared publications:
- Ünsal Tekir
Department of Mathematics, Marmara University, Istanbul, Türkiye
4 shared publications - Bijan Davvaz
Department of Mathematical Sciences, Yazd University, Yazd, Iran
3 shared publications - Faiz Muhammad Khan
Department of Mathematics and Statistics, University of Swat, Swat, Pakistan
3 shared publications - Yuming Feng
School of Computer Science and Engineering, Chongqing Sanxia University of Science and Technology, Wanzhou, Chongqing 404100, China
3 shared publications - Morteza Norouzi
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
2 shared publications - Reza Ameri
University of Tehran
2 shared publications
Latest Publications
- 6 October 2026
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
A study on sdfa-prime submodules
This paper introduces square-difference factor absorbing prime submodules, abbreviated as sdfa-prime submodules, as a new class of submodules over commutative rings. The ideal-theoretic properties of sdfa-prime structures are established, and then extended to general modules, comparing sdfa-prime and strong sdfa-prime submodules with several established submodule classes. We analyze their behavior under standard algebraic constructions, including localization, homomorphic images, quotient structures, direct sums, and Nagata’s idealization. As an application, characterizations of von Neumann regular modules are established through localization.
- 6 October 2026
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
A study on sdfa-prime submodules
This paper introduces square-difference factor absorbing prime submodules, abbreviated as sdfa-prime submodules, as a new class of submodules over commutative rings. The ideal-theoretic properties of sdfa-prime structures are established, and then extended to general modules, comparing sdfa-prime and strong sdfa-prime submodules with several established submodule classes. We analyze their behavior under standard algebraic constructions, including localization, homomorphic images, quotient structures, direct sums, and Nagata’s idealization. As an application, characterizations of von Neumann regular modules are established through localization.
- 25 September 2026
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
Quasi-sdf-absorbing ideals in commutative rings
In this paper, we introduce and study quasi-sdf-absorbing ideals, a generalization of sdf-absorbing ideals. We investigate the stability of this property under various constructions, including localizations, surjective images, Nagata idealizations, and amalgamations. We establish conditions under which the radical of such ideals is prime and discuss a specific class of rings where quasi-sdf-absorption implies the sdf-absorbing primary property. The study concludes with a classification of these ideals in [Formula: see text] and examples distinguishing them from related ideal classes.
- 25 September 2026
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
Quasi-sdf-absorbing ideals in commutative rings
In this paper, we introduce and study quasi-sdf-absorbing ideals, a generalization of sdf-absorbing ideals. We investigate the stability of this property under various constructions, including localizations, surjective images, Nagata idealizations, and amalgamations. We establish conditions under which the radical of such ideals is prime and discuss a specific class of rings where quasi-sdf-absorption implies the sdf-absorbing primary property. The study concludes with a classification of these ideals in [Formula: see text] and examples distinguishing them from related ideal classes.
- Open Access
- 15 September 2026
- Published by MDPI AG in Preprints.org
Epigenetic Inheritance via Fuzzy Soft Hyperstructures
This paper combines hyperstructure theory with fuzzy soft sets to develop a parameterized algebraic model for epigenetic inheritance. By defining hyperoperations dependent on environmental inputs, we model external factors such as temperature fluctuations, soil nutrients, and acoustic stress. We study the structural properties of these systems and show that the resulting fuzzy soft Hv-semigroups preserve weak associativity.
- 15 September 2026
- Published by MDPI AG in Preprints.org
Open AccessEpigenetic Inheritance via Fuzzy Soft Hyperstructures
This paper combines hyperstructure theory with fuzzy soft sets to develop a parameterized algebraic model for epigenetic inheritance. By defining hyperoperations dependent on environmental inputs, we model external factors such as temperature fluctuations, soil nutrients, and acoustic stress. We study the structural properties of these systems and show that the resulting fuzzy soft Hv-semigroups preserve weak associativity.
- 31 March 2026
- Published by Springer Nature in Afrika Matematika
- Vol. 37 (2) , 64
GPU-based program for computing the strong fuzzy degree of hypergroupoids
- 31 March 2026
- Published by Springer Nature in Afrika Matematika
- Vol. 37 (2) , 64
GPU-based program for computing the strong fuzzy degree of hypergroupoids
- 17 February 2026
- Published by Institute of Mathematics, Czech Academy of Sciences
- Vol. 76 (1) , 287-302
On $S$-$(\delta, 2)$-primary ideals of a commutative ring
Institute of Mathematics of the Czech Academy of Sciences
- 17 February 2026
- Published by Institute of Mathematics, Czech Academy of Sciences
- Vol. 76 (1) , 287-302
On $S$-$(\delta, 2)$-primary ideals of a commutative ring
Institute of Mathematics of the Czech Academy of Sciences
- Open Access
On sM-Prime Ideals in Commutative Rings
All rings considered are commutative with identity, and all modules are assumed to be unital. In this paper, we study R-modules in which every quasi-primary submodule is also primary; we refer to such modules as satisfying condition (*). We present several structural properties of these modules and investigate when the direct sum of two modules and inherits condition (*). In addition, we focus on prime ideals P of a ring R with the property that any P-quasi-primary submodule of an R-module M is automatically P-primary. Prime ideals exhibiting this behaviour are introduced as weak -prime ideals relative to M. Our results provide a framework for understanding the interaction between the quasi-primary structure of modules and the prime spectrum of the underlying ring.Open AccessOn sM-Prime Ideals in Commutative Rings
All rings considered are commutative with identity, and all modules are assumed to be unital. In this paper, we study R-modules in which every quasi-primary submodule is also primary; we refer to such modules as satisfying condition (*). We present several structural properties of these modules and investigate when the direct sum of two modules and inherits condition (*). In addition, we focus on prime ideals P of a ring R with the property that any P-quasi-primary submodule of an R-module M is automatically P-primary. Prime ideals exhibiting this behaviour are introduced as weak -prime ideals relative to M. Our results provide a framework for understanding the interaction between the quasi-primary structure of modules and the prime spectrum of the underlying ring. - Open Access
- 4 November 2025
- Published by MDPI AG in Computation
- Vol. 13 (11) , 261
Computation in Algebraic Hyperstructures
The concept of the relation plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive closure . We then apply this algorithm to determine the -class of partial identities in a hypergroup, a process equivalent to computing the heart of the given algebraic structure. Furthermore, we propose a more general algorithm that is also applicable to the case of -groups. By extracting the quotient set with respect to and endowing it with an appropriate group structure, we obtain the so-called fundamental group. The identity of this fundamental group can then be computed directly, yielding the heart of the structure.- 4 November 2025
- Published by MDPI AG in Computation
- Vol. 13 (11) , 261
Open AccessComputation in Algebraic Hyperstructures
The concept of the relation plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive closure . We then apply this algorithm to determine the -class of partial identities in a hypergroup, a process equivalent to computing the heart of the given algebraic structure. Furthermore, we propose a more general algorithm that is also applicable to the case of -groups. By extracting the quotient set with respect to and endowing it with an appropriate group structure, we obtain the so-called fundamental group. The identity of this fundamental group can then be computed directly, yielding the heart of the structure. - Open Access
- 26 August 2025
- Published by MDPI AG in Algorithms
- Vol. 18 (9) , 540
Algorithm for Determining the Strong Fuzzy Grade of a Hypergroup
In this paper, we present an algorithm for determining the strong fuzzy grade of a hypergroup, considering a particular class of hypergroups associated with genetics. A study is carried out depending on the cardinality of the initial hypergroup. The last paragraph of this paper contains the MATLAB R2018b program for the fuzzy grade for cardinals .- 26 August 2025
- Published by MDPI AG in Algorithms
- Vol. 18 (9) , 540
Open AccessAlgorithm for Determining the Strong Fuzzy Grade of a Hypergroup
In this paper, we present an algorithm for determining the strong fuzzy grade of a hypergroup, considering a particular class of hypergroups associated with genetics. A study is carried out depending on the cardinality of the initial hypergroup. The last paragraph of this paper contains the MATLAB R2018b program for the fuzzy grade for cardinals . - Open Access
- 9 January 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (2) , 210
Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals
This paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This paper also explores the broad applicability of possibility multi-fuzzy soft ordered semigroups in solving modern decision-making problems. Furthermore, this paper explores various classes of ordered semigroups, such as simple, regular, and intra-regular, using this innovative method. Based on these concepts, some important conclusions are drawn with supporting examples. Moreover, it defines the possibility of multi-fuzzy soft ideals for semiprime ordered semigroups.
- 9 January 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (2) , 210
Open AccessExploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals
This paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This paper also explores the broad applicability of possibility multi-fuzzy soft ordered semigroups in solving modern decision-making problems. Furthermore, this paper explores various classes of ordered semigroups, such as simple, regular, and intra-regular, using this innovative method. Based on these concepts, some important conclusions are drawn with supporting examples. Moreover, it defines the possibility of multi-fuzzy soft ideals for semiprime ordered semigroups.
- Open Access
Join Spaces and Lattices
Hypergroups represent a generalization of groups, introduced by Marty, that are rich in applications in several sectors of mathematics and in other fields. An important class of hypergroups called join spaces is presented in this paper, along with some connections to lattice theory, in particular, to modular and to distributive lattices. In particular, we study join spaces associated with chains through functions and we analyze when such join spaces are isomorphic. Moreover, a combinatorial problem is presented for a finite context, focusing on calculating the number of isomorphisms classes of join spaces.
Open AccessJoin Spaces and Lattices
Hypergroups represent a generalization of groups, introduced by Marty, that are rich in applications in several sectors of mathematics and in other fields. An important class of hypergroups called join spaces is presented in this paper, along with some connections to lattice theory, in particular, to modular and to distributive lattices. In particular, we study join spaces associated with chains through functions and we analyze when such join spaces are isomorphic. Moreover, a combinatorial problem is presented for a finite context, focusing on calculating the number of isomorphisms classes of join spaces.