Results 131 to 140 of about 166,323,104 (156)
Constructing Number Field Isomorphisms from *-Isomorphisms of Certain Crossed Product C*-Algebras. [PDF]
Commun Math PhysBruce C, Takeishi T.
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Rational Singularities for Moment Maps of Totally Negative Quivers. [PDF]
Transform GroupsVernet T.
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On the structure of finite commutative rings with an identity
Mathematical Notes of the Academy of Sciences of the USSR, 1971The author describes the structure of finite primary principal ideal rings and proves that every such ring is the factor-ring of the ring of integers of a finite extension of the field of rational \(p\)-adic numbers. He also studies the question of the number of nonisomorphic rings of this type with a fixed number of ...
A A Nechaev
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On the structure of digraphs of polynomial transformations over finite commutative rings with unity
Discrete Mathematics and Applications, 2018Abstract The paper describes structural characteristics of the digraph of an arbitrary polynomial transformation of a finite commutative ring with unity. A classification of vertices of the digraph is proposed: cyclic elements, initial elements, and branch points are described. Quantitative results on such objects
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Projections of Finite Commutative Rings with Identity
Algebra and Logic, 2018 Associative rings R and R′ are said to be lattice-isomorphic if their subring lattices L(R) and L(R′) are isomorphic. An isomorphism of the lattice L(R) onto the lattice L(R′) is called a projection (or a lattice isomorphism) of the ring R onto the ring ...
S S Korobkov
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IEEE Transactions on Information Theory, 2019
Let $p$ be a prime, $s$ be a positive integer, and $\mathcal {R}$ be a finite commutative chain ring with the characteristic as a power of $p$ . For a unit $\lambda \in \mathcal {R},~\lambda $ -constacyclic codes of length $p^{s}$ over $\mathcal {R}$ are ideals of the quotient ring $\mathcal {R}[x]/\langle x ...
Anuradha Sharma, Tania Sidana
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Let $p$ be a prime, $s$ be a positive integer, and $\mathcal {R}$ be a finite commutative chain ring with the characteristic as a power of $p$ . For a unit $\lambda \in \mathcal {R},~\lambda $ -constacyclic codes of length $p^{s}$ over $\mathcal {R}$ are ideals of the quotient ring $\mathcal {R}[x]/\langle x ...
Anuradha Sharma, Tania Sidana
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Determinants of some special matrices over commutative finite chain rings
Special Matrices, 2020 Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Somphong Jitman
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POSSIBLE VALUES OF SOME STRUCTURE PARAMETERS OF FINITE COMMUTATIVE LOCAL RINGS
Mathematics of the USSR-Sbornik, 1986Let R be a finite commutative local ring, J(R) its maximal ideal and \(r(R^*)\) the minimal number of generators of the group \(R^*\) of units of R. A pair of natural numbers (\(\ell,m)\) is said to be admissible when there exists R such that \(R/J(R)=GF(p^{\ell})\) for some prime number p and \(r(R^*)=m\).
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Zero-Divisor Graphs of Finite Commutative Rings and Their Structural Properties
International Journal of Research and Scientific InnovationThe study of zero-divisor graphs has established a fruitful connection between commutative algebra and graph theory by providing a combinatorial framework for analyzing algebraic structures. In this paper, we investigate the zero-divisor graphs associated with finite commutative rings and examine how their structural properties reflect the underlying ...
Tasiu Abdullahi Yusuf, Abdu Madugu
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