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OTHER INCOME (LOSS), NET: (Details) (USD $)
In Thousands, unless otherwise specified
0 Months Ended 3 Months Ended
Apr. 27, 2015
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Mar. 31, 2015
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Mar. 31, 2014
Dec. 31, 2014
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Other income, net        
Interest income and gain on sale of investments, net   $ 663us-gaap_InterestIncomeExpenseNonoperatingNet $ 333us-gaap_InterestIncomeExpenseNonoperatingNet  
Impairment loss on equity investment in a private company   (3,189)us-gaap_CostmethodInvestmentsOtherThanTemporaryImpairment    
Foreign exchange gain (loss)   57us-gaap_ForeignCurrencyTransactionGainLossBeforeTax (99)us-gaap_ForeignCurrencyTransactionGainLossBeforeTax  
Total other income, net   $ (2,469)us-gaap_NonoperatingIncomeExpense $ 234us-gaap_NonoperatingIncomeExpense  
Number of privately-held companies impaired 1mlnx_CostMethodInvestmentsNumberOfPrivatelyHeldCompaniesImpaired      
Number of Privately Held Companies in which Entity Held Investments   3mlnx_NumberOfPrivatelyHeldCompaniesInWhichEntityHeldInvestments   3mlnx_NumberOfPrivatelyHeldCompaniesInWhichEntityHeldInvestments