Results 11 to 20 of about 91 (84)

Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings

open access: yesAlgebra, Volume 2014, Issue 1, 2014., 2014
The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
wiley   +1 more source

The Depth of Generalized Full Terms and Generalized Full Hypersubstitutions

open access: yesAlgebra, Volume 2013, Issue 1, 2013., 2013
We generalize the concept of a full term which was introduced by Denecke and Changphas and the concept of the depth of a hypersubstitution which was introduced by Denecke et al. to the depth of a generalized full term and the depth of a generalized full hypersubstitution and then derive the formular for its depth.
Sarawut Phuapong   +2 more
wiley   +1 more source

The Order of Generalized Hypersubstitutions of Type τ = (2)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2008, Issue 1, 2008., 2008
The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ = (2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ = (2, 2) were studied by Th. Changpas and K. Denecke.
Wattapong Puninagool   +2 more
wiley   +1 more source

Complexity of terms, composition, and hypersubstitution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 959-969, 2003., 2003
We consider four useful measures of the complexity of a term: the maximum depth (usually called the depth), the minimum depth, the variable count, and the operation count. For each of these, we produce a formula for the complexity of the composition Smn(s,t1,…,tn) in terms of the complexity of the inputs s, t1, …, tn.
Klaus Denecke, Shelly L. Wismath
wiley   +1 more source

All Regular-Solid Varieties of Idempotent Semirings

open access: yesDiscussiones 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

Peculiarities of intra-cultural study of ethnic identity in marginal students

open access: yesХабаршы. Психология және социология сериясы, 2016
This article presents the results of the application of intra-cultural study of ethnic identity of marginals. Modern Kazakhstan is not a simple connection of different ethnic cultures but represents their complex relationship and interpenetration.
O. H. Aimaganbetova   +2 more
doaj   +2 more sources

ON SOME M-HYPERIDENTITIES OF VARIETIES

open access: yesDemonstratio Mathematica, 2003
A special kind of a hypersubstitution is introduced including pre-hypersubstitution and a reg-hypersubstitution. With respect to this notion some \(M\)-hyperidentities are considered.
openaire   +1 more source

Hyperidentities and Related Concepts, II

open access: yesArmenian Journal of Mathematics, 2022
This survey article illustrates many important current trends and perspectives for the field including classification of hyperidentities, characterizations of algebras with hyperidentities, functional representations of free algebras, structure results for bilattices, categorical questions and applications.
openaire   +1 more source

РЕСУРСНЫЙ ПОТЕНЦИАЛ ЭТНИЧЕСКОЙ ИДЕНТИЧНОСТИ В СОВРЕМЕННОМ ОБЩЕСТВЕ

open access: yesSovremennye Issledovaniâ Socialʹnyh Problem, 2013
В статье рассматривается проблема использования этнической идентичности как особого социального ресурса. Цель данного исследования – анализ функций этнической идентичность на индивидуально-личностном и коллективном уровнях с позиции концепции ...
Виктория Николаевна Муха
doaj  

A characterization of Sheffer functions by hyperidentities

open access: yesSemigroup Forum, 1988
A Sheffer function is a function f: A \(n\to A\) such that the algebra \b{A}\(=\) is primal. A hyperidentity for a universal algebra \b{A} is an identity for its clone of operations. The paper gives a new primality criterion, i.e. a characterization of Sheffer functions in terms of hyperidentities: If \(| A|\) is a prime power, then f: A \(n\to A\) is ...
Denecke, Klaus, Pöschel, Reinhard
openaire   +1 more source

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