Results 31 to 40 of about 487 (71)
One‐sided complements and solutions of the equation aXb = c in semirings
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 8, Page 453-458, 2002., 2002 Given multiplicatively‐regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb = c. This result is then extended to equations over matrix semirings.
Sam L. Blyumin, Jonathan S. Golan
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Characterizations of projective and k‐projective semimodules
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 439-448, 2002., 2002 This paper deals with projective and k‐projective semimodules. The results for projective semimodules are generalization of corresponding results for projective modules.
Huda Mohammed J. Al-Thani
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Derivations in some Finite Endomorphism Semirings
, 2012 The goal of this paper is to provide some basic structure information on derivations in finite semirings.Comment: 18 ...
Trendafilov, Ivan
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Subdirect products of semirings
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 539-545, 2001., 2001 Bandelt and Petrich (1982) proved that an inversive semiring S is a subdirect product of a distributive lattice and a ring if and only if S satisfies certain conditions. The aim of this paper is to obtain a generalized version of this result. The main purpose of this paper however, is to investigate, what new necessary and sufficient conditions need we
P. Mukhopadhyay
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On the dimension of polynomial semirings [PDF]
, 2015 In our previous work, motivated by the study of tropical polynomials, a definition for prime congruences was given for an arbitrary commutative semiring.
Joó, Dániel, Mincheva, Kalina
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∗‐π‐Reversible ∗‐Semirings and Their Applications to Generalized Inverses
Journal of Mathematics, Volume 2024, Issue 1, 2024.We introduce and study a new class of ∗‐semirings which is called ∗‐π‐reversible ∗‐semirings. A ∗‐semiring R is said to be ∗‐π‐reversible if for any a, b ∈ R, ab = 0 implies there exist two positive integers m and n such that bman∗=0. Some characterizations and examples of this class of semirings are given. As applications, generalized inverses related
Yuanfan Zhuo, Qinqin Gu, Huadong Su
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International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 47-58, 1994., 1993 Several statements on quasi‐ideals of semirings are given in this paper, where these semirings may have an absorbing element O or not. In Section 2 we characterize regular semirings and regular elements of semi‐rings using quasi‐ideals (cf. Thms. 2.1, 2.2 and 2.7). In Section 3 we deal with (O−)minimal and canonical quasi‐ideals.
Christoph Dönges
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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 347-350, 1992., 1992 Certain types of ring congruences on an additive inverse semiring are characterized with the help of full k‐ideals. It is also shown that the set of all full k‐ideals of an additively inverse semiring in which addition is commutative forms a complete lattice which is also modular.
M. K. Sen, M. R. Adhikari
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The additively idempotent semiring $$S_7^0$$ is nonfinitely based
Semigroup ForumWe show that the additively idempotent semiring $S_7^0$ has no finite basis for its equational theory. This answers an open problem posed by Jackson et al. (J. Algebra 611 (2022), 211--245).
Wu, Yanan +2 more
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Semiring and semimodule issues in MV-algebras
, 2013 In this paper we propose a semiring-theoretic approach to MV-algebras based on the connection between such algebras and idempotent semirings - such an approach naturally imposing the introduction and study of a suitable corresponding class of semimodules,
Adámek J. +23 more
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