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Просмотр по теме "commutative operad"

Просмотр по теме "commutative operad"

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  • On algebras over multicategories 
    Tronin S. (2016)
    © 2016, Allerton Press, Inc.We introduce a notion of a monoidal category over verbal category. In such categories we define algebras over multicategories over the same verbal categories. We also explicitly compute categories ...
  • On one class of commutative operads 
    Gaynullina A. (2016)
    © 2017 World Scientific Publishing CompanyIn this paper, we study one class of commutative operads, namely, the operads of multidimensional (hollow) cubes in Euclidean spaces and their generalization. We describe the ...
  • Some new platforms for algebraic cryptography and one method of increasing the security 
    Gaynullina A.; Tronin S. (2016)
    © 2016, Pleiades Publishing, Ltd.In this paper we discuss the possibility of using the categorical groupoids and the commutative operads in algebraic cryptography. Also, we introduce a general method of constructing the ...
  • Towards an operad-based cryptography: Applications of commutative operads 
    Gaynullina A.; Tronin S. (2016)
    © 2016, Pleiades Publishing, Ltd.In this paper we show the use of commutative operads in public-key cryptography. Commutative operads were introduced by S.N. Tronin in 2006. They are a special case of algebraic operads and ...

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