Results 11 to 20 of about 91 (84)
Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
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
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
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The Order of Generalized Hypersubstitutions of Type τ = (2)
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
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
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
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
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ON SOME M-HYPERIDENTITIES OF VARIETIES
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.
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Hyperidentities and Related Concepts, II
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.
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РЕСУРСНЫЙ ПОТЕНЦИАЛ ЭТНИЧЕСКОЙ ИДЕНТИЧНОСТИ В СОВРЕМЕННОМ ОБЩЕСТВЕ
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
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
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