The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all results

Vasantha, Kandasamy

English

ZENODO

A decoding method for planar near-ring codes,

A lattice isomorphism between sets of ideals of the near-rings in a near-ring Morita context,

A new type of product on lattices (nearsemilattices),

A note on f-group near-rings without nonzero nilpotents,

A note on group near-rings which are pnear-rings,

A note on N-groups,

A note on Γ-near-rings,

A radical approach to algebra,

A survey of binary systems,

Abnormalization of anti-fuzzy R-subgroups in near-rings,

and sufficient for the group near-ring ZpG so that i.

Applied Abstract Algebra,

be a finite S-semigroup of order n and Z be the near-ring. Does ZG have i. S-essential ideals. ii. S-quasi ideals. iii. S-central elements. iv. S-regular elements. v. S-principal ideals.

Bipotent left bipotent near-ring, 43-4, 185 left, 43, 54 loop near-ring,

Characterize those group near-rings (seminear-rings) which are i.

Characterize those group near-rings which are only S-near-rings and not S-group near-rings.

Characterize those near-rings which are S-LSD near-rings.

Characterize those S-composition near-ring.

Characterize those semigroup (group) near-rings which are S-simple.

Characterize those semigroup near-rings NS which have i. Units and S-units. ii. Zero divisors and S-zero divisors. iii. Idempotents and S-idempotents.

Characterize those seminear-rings which are S-pseudo seminear-rings.

Circular planar near-rings with application,

Complex polynomial near-rings,

Composition near-rings,

Contributions to near-ring theory II,

Contributions to near-ring theory,

Dept. of Mathematics, FraÛii BuzeÕti College, Romania. THEOREM 9.2.2: The fuzzy matrix near-ring is not an abelian near-ring.

Embedding near-domains,

Equiprime infra-near-rings,

Equiprime left ideals and equiprime N-groups of a near-ring,

Find a class of near-rings which are S-quasi near-rings.

Find a class of S-bipotent seminear-ring.

Find a class of S-reliable near-rings.

Find a condition on the near-ring N so that all uniform ideals of G are S-uniform ideals of G.

Find a necessary and sufficient condition on a S-near-ring N to be S-normal.

Find conditions on the group and on the loop near-ring N so that NG has i. S-zero divisors. ii. Non-trivial S-ideals. iii. Satisfies chain conditions.

Find groupoid near-rings ZnG which has S-quasi subnear-rings.

Find the S-Jacobson radical for Zp Ln(m); Ln(m) ∈ Ln.

Find those S-group near-rings and S-semigroup seminear-rings which satisfy standard polynomial identities.

Finite spanning dimension in N-groups,

For the S-S-semigroup automaton level I and II derive some inter-relations or a set of S-S-semigroup automaton level I and II with no inter-relation entirely acting in a discrete way.

From near-rings and near-fields to K-loops,

Fuzzy ideal of a near-ring,

Fuzzy ideals in gamma near-ring,

Give a class of S-NA-near-rings which are S-planar.

H-integral near-rings,

Ideals and derivations in prime near-rings,

Ideals in near-rings Z[x] of polynomials,

Idempotents and semi-idempotents in nearrings,

Idempotents in group seminear-ring,

Idempotents in loop seminear-rings,

Infinite group rings,

Integral loop seminear rings,

is a normal subgroup of Pnxn.

Left bipotent near-ring,

Left self-distributive nearring,

Let Zn be a seminear-ring. Ln(m) ∈ Ln be the new class of loops. Study for the loop seminear-ring ZnLn(m) for varying m (n non-prime) to have i.

Loop-half groupoid near-ring,

Loops over near-rings (Near loop rings),

Matrix d. g. near-rings,

Matrix near rings contained in 2-primitive near ring with minimal subgroups,

Matrix near-rings,

n-ideal near-rings,

N-solubility and N-nilpotency in tame N-groups,

Near loop rings of Moufang loops,

Near-ring construction by quotients of power series composition rings, 95-101,

Near-rings and geometry,

Near-rings whose one-sided non nil ideals are GP-near-fields, Near-rings and Near-fields:

Near-rings with a minimal defect of distributivity,

Obtain a necessary and sufficient condition for a F-near-ring to be a S-F-near-ring and conversely.

Obtain a necessary and sufficient condition so that every normal near-ring is Snormal and vice versa.

Obtain condition for a near-ring N to be a S-n-ideal near-ring.

Obtain necessary and sufficient condition so that a seminear-ring is a S-strict seminear-ring.

On a generalization of the ring theory,

On annihilators in endomorphism near-rings,

On fuzzy complex near-rings,

On fuzzy congruence of a near-ring module,

On fuzzy near-matrix rings,

On fuzzy R-subgroups of near-rings,

On fuzzy subnear-rings and ideals,

On ideal transitivity in near-rings,

On loop near-ring,

On loop near-rings and left bipotent loop near-rings, M.Phil Diss., Annamalai Univ.,

On Marot rings,

On near loop rings which are Marot near loop rings,

On strict weakly regular near-ring,

On strongly prime near-rings,

On strongly subcommutative near-rings,

On subcommutative rings,

On syntactic near-rings of even dihedral groups,

On the commutativity of near-rings with derivations,

On the construction of a class of weakly divisible near-rings,

On the Γ-rings of Nobusawa,

Polarities for near-rings,

Radicals for near-rings,

Radicals of Γ- near rings,

S-planar near-rings. ii. S-left infra near-rings. iii. S-strongly semiprime near-rings. iv. S-completely equiprime near-rings. v. S-integral near-rings.

Smarandache near-rings

Abstract

Similar works

Full text

Available Versions

ZENODO