Results 31 to 40 of about 1,605,092 (298)
When is R[x] a principal ideal ring?
Revista Integración, 2018 Because of its interesting applications in coding theory, cryptography, and algebraic combinatoris, in recent decades a lot of attention has been paid to the algebraic structure of the ring of polynomials R[x], where R is a finite commutative ring with ...
Henry Chimal-Dzul, C. A. López-Andrade
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Unitary Invertible Graphs of Finite Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +2 more
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Finite automata over algebraic structures: models and some methods of analysis [PDF]
Computer Science Journal of Moldova, 2015 In this paper some results of research in two new trends of finite automata theory are presented. For understanding the value and the aim of these researches some short retrospective analysis of development of finite automata theory is given.
Volodymyr V. Skobelev +1 more
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Classification of Finite Rings of Order p6 by Generators and Relations
Journal of Mathematics, 2013 For any finite abelian group (R,+), we define a binary operation or “multiplication” on R and give necessary and sufficient conditions on this multiplication for R to extend to a ring. Then we show when two rings made on the same group are isomorphic. In
P. Karimi Beiranvand +2 more
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Definability of linear equation systems over groups and rings [PDF]
Logical Methods in Computer Science, 2013 Motivated by the quest for a logic for PTIME and recent insights that the descriptive complexity of problems from linear algebra is a crucial aspect of this problem, we study the solvability of linear equation systems over finite groups and rings from ...
Anuj Dawar +4 more
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A Coefficient Ring for Finite Noncommutative Rings [PDF]
Proceedings of the American Mathematical Society, 1972 We prove that every finite p -ring R contains a unique (up to isomorphism) subring S such that
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Rings with finite decomposition of identity [PDF]
Ukrainian Mathematical Journal, 2011 A ring is called an FDI-ring if it has a decomposition of identity into a finite sum of pairwise orthogonal primitive idempotents. This notion generalizes right Artinian, right Noetherian, semiperfect and Goldie rings. The authors first present a survey of various finiteness conditions related to FDI-rings.
Dokuchaev, M.A. +2 more
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Graded Rings Associated with Factorizable Finite Groups
Mathematics, 2023 Let R be an associative ring with unity, X be a finite group, H be a subgroup of X, and G be a set of left coset representatives for the left action of H on X.
Mohammed M. Al-Shomrani, Najla Al-Subaie
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