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Displaying 181 – 200 of 334

On near-ring ideals with $(σ, τ)$ -derivation

Öznur Golbaşi, Neşet Aydin (2007)

Archivum Mathematicum

Let $N$ be a $3$ -prime left near-ring with multiplicative center $Z$ , a $(σ, τ)$ -derivation $D$ on $N$ is defined to be an additive endomorphism satisfying the product rule $D (x y) = τ (x) D (y) + D (x) σ (y)$ for all $x, y \in N$ , where $σ$ and $τ$ are automorphisms of $N$ . A nonempty subset $U$ of $N$ will be called a semigroup right ideal (resp. semigroup left ideal) if $U N \subset U$ (resp. $N U \subset U$ ) and if $U$ is both a semigroup right ideal and a semigroup left ideal, it be called a semigroup ideal. We prove the following results: Let $D$ be a $(σ,$

On near-rings with ACC on annihilators.

Chowdhury, K.Ch., Saikia, Helen K. (1997) Mathematica Pannonica

On Near-Rings with ATM.

Markku Niemenmaa (1984) Monatshefte für Mathematik

On nearrings with derivation.

Khan, M.A., Khan, M.S. (2006) Mathematica Pannonica

On prime and semiprime near-rings with derivations.

Argaç, Nurcan (1997) International Journal of Mathematics and Mathematical Sciences

On prime near-rings with generalized derivation.

Bell, Howard E. (2008) International Journal of Mathematics and Mathematical Sciences

On properties of fuzzy left $h$ -ideals in hemirings with $t$ -norms.

Zhan, Jianming (2005)

International Journal of Mathematics and Mathematical Sciences

On p-semirings

Branka Budimirović, Vjekoslav Budimirović, Branimir Šešelja (2002)

Discussiones Mathematicae - General Algebra and Applications

A class of semirings, so called p-semirings, characterized by a natural number p is introduced and basic properties are investigated. It is proved that every p-semiring is a union of skew rings. It is proved that for some p-semirings with non-commutative operations, this union contains rings which are commutative and possess an identity.