Results 1 to 10 of about 48 (48)

On Jordan mappings of inverse semirings

Open Mathematics, 2017
In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
doaj   +1 more source

All Regular-Solid Varieties of Idempotent Semirings

Discussiones Mathematicae - General Algebra and Applications, 2017
The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties of semirings.
Hounnon Hippolyte
doaj   +1 more source

On Γ-Semiring With Identity

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper we study the properties of structures of the semigroup (M,+) and the Γ-semigroup M of Γ -semiring M and regular Γ-semiring M satisfying the identity a + aαb = a or aαb + a = a or a + aαb + b = a or a + 1 = 1, for all a ∈ M, α ∈ Γ.
Rao Marapureddy Murali Krishna
doaj   +1 more source

Characterizations of Weakly Ordered k-Regular Hemirings by k-Ideals

Discussiones Mathematicae - General Algebra and Applications, 2019
We study the concepts of left weakly ordered k-regular and right weakly ordered k-regular hemirings and give some of their characterizations using many types of their k-ideals.
Pibaljommee Bundit, na Ayutthaya Pakorn Palakawong   +1 more
doaj   +1 more source

A Note on Strongly Euclidean Semirings [PDF]

, 2012
. Theory of ideals in the semiring Z ). In this paper, we study ideal theory in the semiring (Z + 0 , gcd, lcm) and obtain characterizations of Q-ideals, prime ideals, maximal ideals and primary ideals.
K J Ingale, Jayprakash Ninu Chaudhari
core  

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

Generalized fuzzy h-ideals of hemirings

, 2011
The concept of (?, ? V q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (?, ? V q)-fuzzy right h-ideal F and (?, ? V q)-fuzzy left h-ideal G, F ?0.5 G
Husna Zayadi
core  

Ordered Construction Of Combinatorial Objects

, 2007
. The generating function method for counting species of combinatorial objects is applied to the construction of the objects in order. The species considered are those described using context-free grammars with additional group-invariant operators.
Mitch Harris, Nachum Dershowitz
core  

A generalization of Strassen’s Positivstellensatz

Communications in Algebra, 2021
Tobias Fritz
exaly