The rings which are Boolean. II.
P. Jedlička (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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P. Jedlička (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Maurer, I.Gy., Szigeti, J. (1990)
Mathematica Pannonica
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Rajendra K. Sharma, Amit B. Singh (2024)
Mathematica Bohemica
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We study McCoy’s theorem to the skew Hurwitz series ring for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring satisfies McCoy’s theorem of skew Hurwitz series.
Mohammad Ashraf (1997)
Archivum Mathematicum
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Let be fixed integers. Suppose that is an associative ring with unity in which for each there exist polynomials such that . Then is commutative. Further, result is extended to the case when the integral exponents in the above property depend on the choice of and . Finally, commutativity of one sided s-unital ring is also obtained when satisfies some related ring properties.
David P. Ellerman, Gian-Carlo Rota (1978)
Rendiconti del Seminario Matematico della Università di Padova
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Melvin Henriksen, Suzanne Larson, Frank A. Smith (1991)
Commentationes Mathematicae Universitatis Carolinae
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A lattice-ordered ring is called an if each of its order ideals is a ring ideal. Generalizing earlier work of Basly and Triki, OIRI-rings are characterized as those -rings such that is contained in an -ring with an identity element that is a strong order unit for some nil -ideal of . In particular, if denotes the set of nilpotent elements of the -ring , then is an OIRI-ring if and only if is contained in an -ring with an identity element that is a strong order unit. ...
Alfred L. Foster (1951)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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