Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.

Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.

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Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
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  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
  • Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.
Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.

Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations (O perestanovochnosti funktora tenzornogo popolneniya s osnovnymi gruppovymi operatsiyami). 1992. In Russian.

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Амаглобели, М. О перестановочности функтора тензорного пополнения с основными групповыми операциями / Российская академия наук, Сибирское отделение, Институт информационных технологий и прикладной математики ; Омский государственный университет ; рецензент доктор физико-математических наук А. Г. Мясников.
Омск : ИИТПМ, 1992. 8 страниц. Препринт № 7.
Мягкая обложка. Обычный формат. Тираж 100 экземпляров. Первое издание.
Переплёт хороший: незначительные загрязнения обложки. Блок хороший: типографская ошибка нумерации страниц (предположительно присуща всему тиражу), текст полный.
***
Amaglobeli, M. On the Commutativity of the Tensor Completion Functor with Basic Group Operations / Institute of Information Technologies and Applied Mathematics, Siberian Branch of the Russian Academy of Sciences ; Omsk State University ; reviewed by A. G. Myasnikov, Doctor of Physical and Mathematical Sciences.
Omsk : IITAM, 1992. 8 pp. Preprint No. 7.
Paperback. Standard format. Print run of 100 copies. First edition.
Binding good: light soiling to wrapper. Text block good: printer's pagination error in the numbering sequence (likely present throughout the print run), text otherwise complete.

A foundational item in the modern theory of exponential (power) groups, and the earliest link in a well-documented Omsk research chain. Ronald Lyndon introduced the notion of groups with parametric exponents in 1960; Alexei Myasnikov refined the concept with an added axiom, giving rise to the modern category of exponential MR-groups, a direct generalisation of the notion of a module to noncommutative groups. In this eight-page preprint, reviewed personally by Myasnikov, Mamuka Amaglobeli takes up the central open question of whether the tensor completion functor commutes with the basic group-theoretic operations: direct products, Cartesian products, direct limits, and inverse limits. He proves commutativity with direct products and direct limits, and constructs counterexamples showing that commutativity fails for Cartesian products and inverse limits, using a p-adic integers example built from cyclic p-groups. The paper is cited as reference [1] in Myasnikov and Remeslennikov's own "Exponential Groups I" (Siberian Mathematical Journal, 1994) and directly underlies Amaglobeli and Remeslennikov's "Exponential Groups II" (Preprint No. 11, Omsk, 1993). The line of research begun here has continued for over three decades, cited as recently as 2024-2025 in papers by Amaglobeli, Myasnikov, and Nadiradze in Algebra and Logic, and fed into the broader algebraic-geometry-over-groups programme associated with the solution of the Tarski problems. Printed in a run of only one hundred copies for internal institutional circulation at the outset of Georgian and Russian collaborative research on exponential groups, the preprint is a genuinely scarce document of a productive Tbilisi-Omsk mathematical partnership, of particular interest alongside the later numbers in the same series.

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