The concept of a hybrid structure in X-semimodules, where X is a semiring, is introduced in
this paper. The notions of hybrid subsemimodule and hybrid right (resp., left) ideals are …

In this paper, the bases of a semimodule over a commutative semiring R are investigated.
Some properties and characterizations of the bases are discussed and some equivalent …

In this paper, we study the class of prime semimodules and the related concepts, such as the
class of semimodules, the class of Dedekind semidomains, the class of prime semimodules …

In this paper, we introduce a partitioning subsemimodule of a semimodule over a semiring
which is useful to develop the quotient structure of semimodule. Indeed we prove: 1) The …

The aim of this paper is to introduce the concept of Dedekind semimodules and study the
related concepts, such as the class of semimodules, and Dedekind multiplication …

Prime Subsemimodules of Semimodules 1 Introduction Page 1 International Journal of
Algebra, Vol. 4, 2010, no. 26, 1299 - 1306 Prime Subsemimodules of Semimodules Reza …

On Baer filters of bounded distributive lattices 1. Introduction Page 1 Quasigroups and Related
Systems 32 (2024), 1 - 20 https://doi.org/10.56415/qrs.v32.01 On Baer filters of bounded …

The purpose of this paper is to investigate possible structures and useful properties of prime
subsemimodules of a semimodule M over a semiring R and show various applications of the …

The study of symmetry is a fascinating and unifying subject that connects various areas of
mathematics in the twenty-first century. Algebraic structures offer a framework for …

Let be a commutative semiring with unity and be an unitary leftsemimodule. Let:()→()∪{∅}
be a function, where() is the set of all subsemimodules of. A proper subsemimodule of is …