The Total Graphs of Finite Commutative Semirings
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DOI: 10.1007/s00025-016-0595-y
Abstract: Anderson and Badawi (J Algebra 320(7):2706–2719, 2008) characterized all commutative rings having total graphs without any 3-cycles. In this paper we expand those results to the semiring setting and obtain the characterization of finite commutative… read more here.
Keywords: commutative semirings; total graphs; finite commutative; graphs finite ... See more keywords
CONGRUENCE OF SYMMETRIC INNER PRODUCTS OVER FINITE COMMUTATIVE RINGS OF ODD CHARACTERISTIC
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DOI: 10.1017/s0004972717000405
Abstract: Let $R$ be a finite commutative ring of odd characteristic and let $V$ be a free $R$ -module of finite rank. We classify symmetric inner products defined on $V$ up to congruence and find the… read more here.
Keywords: congruence; finite commutative; odd characteristic; symmetric inner ... See more keywords
Double Constacyclic Codes Over Two Finite Commutative Chain Rings
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DOI: 10.1109/tit.2022.3215593
Abstract: Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -additive cyclic codes and quasi-cyclic codes of fractional index etc., were proved asymptotically good.… read more here.
Keywords: finite commutative; commutative chain; chain rings; two finite ... See more keywords